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Finding the Third Proportional to 132,292 and 290,924

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Solution

The third proportional to 132,292 and 290,924 is: 639,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,292 : 290,924 = 290,924 : x
  2. Step 2: Convert to fraction form
    132,292/290,924 = 290,924/x
  3. Step 3: Cross multiply
    132,292x = 290,924 × 290,924
  4. Step 4: Simplify right side
    132,292x = 84,636,773,776
  5. Step 5: Solve for x
    x = 84,636,773,776/132,292
  6. Step 6: Final answer
    x = 639,772.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.