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Finding the Third Proportional to 151,324.13 and 212,077.13

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Solution

The third proportional to 151,324.13 and 212,077.13 is: 297,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,324.13 : 212,077.13 = 212,077.13 : x
  2. Step 2: Convert to fraction form
    151,324.13/212,077.13 = 212,077.13/x
  3. Step 3: Cross multiply
    151,324.13x = 212,077.13 × 212,077.13
  4. Step 4: Simplify right side
    151,324.13x = 44,976,706,948.27
  5. Step 5: Solve for x
    x = 44,976,706,948.27/151,324.13
  6. Step 6: Final answer
    x = 297,220.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.