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Finding the Third Proportional to 131,850 and 290,592

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Solution

The third proportional to 131,850 and 290,592 is: 640,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,850 : 290,592 = 290,592 : x
  2. Step 2: Convert to fraction form
    131,850/290,592 = 290,592/x
  3. Step 3: Cross multiply
    131,850x = 290,592 × 290,592
  4. Step 4: Simplify right side
    131,850x = 84,443,710,464
  5. Step 5: Solve for x
    x = 84,443,710,464/131,850
  6. Step 6: Final answer
    x = 640,452.87

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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.