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Finding the Third Proportional to 132,080 and 311,531

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Solution

The third proportional to 132,080 and 311,531 is: 734,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,080 : 311,531 = 311,531 : x
  2. Step 2: Convert to fraction form
    132,080/311,531 = 311,531/x
  3. Step 3: Cross multiply
    132,080x = 311,531 × 311,531
  4. Step 4: Simplify right side
    132,080x = 97,051,563,961
  5. Step 5: Solve for x
    x = 97,051,563,961/132,080
  6. Step 6: Final answer
    x = 734,793.79

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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.