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Finding the Third Proportional to 202,125.38 and 442,087.88

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Solution

The third proportional to 202,125.38 and 442,087.88 is: 966,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,125.38 : 442,087.88 = 442,087.88 : x
  2. Step 2: Convert to fraction form
    202,125.38/442,087.88 = 442,087.88/x
  3. Step 3: Cross multiply
    202,125.38x = 442,087.88 × 442,087.88
  4. Step 4: Simplify right side
    202,125.38x = 195,441,689,222.02
  5. Step 5: Solve for x
    x = 195,441,689,222.02/202,125.38
  6. Step 6: Final answer
    x = 966,932.97

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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.