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Finding the Third Proportional to 203,748 and 442,500.38

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Solution

The third proportional to 203,748 and 442,500.38 is: 961,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,748 : 442,500.38 = 442,500.38 : x
  2. Step 2: Convert to fraction form
    203,748/442,500.38 = 442,500.38/x
  3. Step 3: Cross multiply
    203,748x = 442,500.38 × 442,500.38
  4. Step 4: Simplify right side
    203,748x = 195,806,581,875.14
  5. Step 5: Solve for x
    x = 195,806,581,875.14/203,748
  6. Step 6: Final answer
    x = 961,023.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.