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Finding the Third Proportional to 232,781 and 359,651

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Solution

The third proportional to 232,781 and 359,651 is: 555,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,781 : 359,651 = 359,651 : x
  2. Step 2: Convert to fraction form
    232,781/359,651 = 359,651/x
  3. Step 3: Cross multiply
    232,781x = 359,651 × 359,651
  4. Step 4: Simplify right side
    232,781x = 129,348,841,801
  5. Step 5: Solve for x
    x = 129,348,841,801/232,781
  6. Step 6: Final answer
    x = 555,667.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.