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Finding the Third Proportional to 174,926.25 and 362,299.50

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Solution

The third proportional to 174,926.25 and 362,299.50 is: 750,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,926.25 : 362,299.50 = 362,299.50 : x
  2. Step 2: Convert to fraction form
    174,926.25/362,299.50 = 362,299.50/x
  3. Step 3: Cross multiply
    174,926.25x = 362,299.50 × 362,299.50
  4. Step 4: Simplify right side
    174,926.25x = 131,260,927,700.25
  5. Step 5: Solve for x
    x = 131,260,927,700.25/174,926.25
  6. Step 6: Final answer
    x = 750,378.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.