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Finding the Third Proportional to 132,306.75 and 312,275.25

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Solution

The third proportional to 132,306.75 and 312,275.25 is: 737,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,306.75 : 312,275.25 = 312,275.25 : x
  2. Step 2: Convert to fraction form
    132,306.75/312,275.25 = 312,275.25/x
  3. Step 3: Cross multiply
    132,306.75x = 312,275.25 × 312,275.25
  4. Step 4: Simplify right side
    132,306.75x = 97,515,831,762.56
  5. Step 5: Solve for x
    x = 97,515,831,762.56/132,306.75
  6. Step 6: Final answer
    x = 737,043.51

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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.