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Finding the Third Proportional to 132,015 and 311,542

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Solution

The third proportional to 132,015 and 311,542 is: 735,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,015 : 311,542 = 311,542 : x
  2. Step 2: Convert to fraction form
    132,015/311,542 = 311,542/x
  3. Step 3: Cross multiply
    132,015x = 311,542 × 311,542
  4. Step 4: Simplify right side
    132,015x = 97,058,417,764
  5. Step 5: Solve for x
    x = 97,058,417,764/132,015
  6. Step 6: Final answer
    x = 735,207.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.