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Finding the Third Proportional to 202,299.38 and 442,695.75

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Solution

The third proportional to 202,299.38 and 442,695.75 is: 968,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,299.38 : 442,695.75 = 442,695.75 : x
  2. Step 2: Convert to fraction form
    202,299.38/442,695.75 = 442,695.75/x
  3. Step 3: Cross multiply
    202,299.38x = 442,695.75 × 442,695.75
  4. Step 4: Simplify right side
    202,299.38x = 195,979,527,068.06
  5. Step 5: Solve for x
    x = 195,979,527,068.06/202,299.38
  6. Step 6: Final answer
    x = 968,759.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.