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Finding the Third Proportional to 132,404.75 and 312,294.75

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Solution

The third proportional to 132,404.75 and 312,294.75 is: 736,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,404.75 : 312,294.75 = 312,294.75 : x
  2. Step 2: Convert to fraction form
    132,404.75/312,294.75 = 312,294.75/x
  3. Step 3: Cross multiply
    132,404.75x = 312,294.75 × 312,294.75
  4. Step 4: Simplify right side
    132,404.75x = 97,528,010,877.56
  5. Step 5: Solve for x
    x = 97,528,010,877.56/132,404.75
  6. Step 6: Final answer
    x = 736,589.97

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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.