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Finding the Third Proportional to 144,112 and 215,592

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Solution

The third proportional to 144,112 and 215,592 is: 322,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,112 : 215,592 = 215,592 : x
  2. Step 2: Convert to fraction form
    144,112/215,592 = 215,592/x
  3. Step 3: Cross multiply
    144,112x = 215,592 × 215,592
  4. Step 4: Simplify right side
    144,112x = 46,479,910,464
  5. Step 5: Solve for x
    x = 46,479,910,464/144,112
  6. Step 6: Final answer
    x = 322,526.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.