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Finding the Third Proportional to 175,099.50 and 260,097.75

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Solution

The third proportional to 175,099.50 and 260,097.75 is: 386,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,099.50 : 260,097.75 = 260,097.75 : x
  2. Step 2: Convert to fraction form
    175,099.50/260,097.75 = 260,097.75/x
  3. Step 3: Cross multiply
    175,099.50x = 260,097.75 × 260,097.75
  4. Step 4: Simplify right side
    175,099.50x = 67,650,839,555.06
  5. Step 5: Solve for x
    x = 67,650,839,555.06/175,099.50
  6. Step 6: Final answer
    x = 386,356.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.