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Finding the Third Proportional to 132,343.88 and 312,371.44

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Solution

The third proportional to 132,343.88 and 312,371.44 is: 737,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,343.88 : 312,371.44 = 312,371.44 : x
  2. Step 2: Convert to fraction form
    132,343.88/312,371.44 = 312,371.44/x
  3. Step 3: Cross multiply
    132,343.88x = 312,371.44 × 312,371.44
  4. Step 4: Simplify right side
    132,343.88x = 97,575,914,965.82
  5. Step 5: Solve for x
    x = 97,575,914,965.82/132,343.88
  6. Step 6: Final answer
    x = 737,290.75

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