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Finding the Third Proportional to 132,132 and 290,508

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Solution

The third proportional to 132,132 and 290,508 is: 638,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,132 : 290,508 = 290,508 : x
  2. Step 2: Convert to fraction form
    132,132/290,508 = 290,508/x
  3. Step 3: Cross multiply
    132,132x = 290,508 × 290,508
  4. Step 4: Simplify right side
    132,132x = 84,394,898,064
  5. Step 5: Solve for x
    x = 84,394,898,064/132,132
  6. Step 6: Final answer
    x = 638,716.57

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