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Finding the Third Proportional to 132,315.75 and 312,301.13

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Solution

The third proportional to 132,315.75 and 312,301.13 is: 737,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,315.75 : 312,301.13 = 312,301.13 : x
  2. Step 2: Convert to fraction form
    132,315.75/312,301.13 = 312,301.13/x
  3. Step 3: Cross multiply
    132,315.75x = 312,301.13 × 312,301.13
  4. Step 4: Simplify right side
    132,315.75x = 97,531,992,676.27
  5. Step 5: Solve for x
    x = 97,531,992,676.27/132,315.75
  6. Step 6: Final answer
    x = 737,115.52

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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.