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Finding the Third Proportional to 132,244.88 and 312,130.13

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Solution

The third proportional to 132,244.88 and 312,130.13 is: 736,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,244.88 : 312,130.13 = 312,130.13 : x
  2. Step 2: Convert to fraction form
    132,244.88/312,130.13 = 312,130.13/x
  3. Step 3: Cross multiply
    132,244.88x = 312,130.13 × 312,130.13
  4. Step 4: Simplify right side
    132,244.88x = 97,425,214,932.52
  5. Step 5: Solve for x
    x = 97,425,214,932.52/132,244.88
  6. Step 6: Final answer
    x = 736,703.14

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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.