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Finding the Third Proportional to 202,301 and 442,699

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Solution

The third proportional to 202,301 and 442,699 is: 968,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,301 : 442,699 = 442,699 : x
  2. Step 2: Convert to fraction form
    202,301/442,699 = 442,699/x
  3. Step 3: Cross multiply
    202,301x = 442,699 × 442,699
  4. Step 4: Simplify right side
    202,301x = 195,982,404,601
  5. Step 5: Solve for x
    x = 195,982,404,601/202,301
  6. Step 6: Final answer
    x = 968,766.37

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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.