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Finding the Third Proportional to 178,412.75 and 260,920.50

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Solution

The third proportional to 178,412.75 and 260,920.50 is: 381,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,412.75 : 260,920.50 = 260,920.50 : x
  2. Step 2: Convert to fraction form
    178,412.75/260,920.50 = 260,920.50/x
  3. Step 3: Cross multiply
    178,412.75x = 260,920.50 × 260,920.50
  4. Step 4: Simplify right side
    178,412.75x = 68,079,507,320.25
  5. Step 5: Solve for x
    x = 68,079,507,320.25/178,412.75
  6. Step 6: Final answer
    x = 381,584.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.