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Finding the Third Proportional to 132,246.25 and 312,131.75

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Solution

The third proportional to 132,246.25 and 312,131.75 is: 736,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,246.25 : 312,131.75 = 312,131.75 : x
  2. Step 2: Convert to fraction form
    132,246.25/312,131.75 = 312,131.75/x
  3. Step 3: Cross multiply
    132,246.25x = 312,131.75 × 312,131.75
  4. Step 4: Simplify right side
    132,246.25x = 97,426,229,358.06
  5. Step 5: Solve for x
    x = 97,426,229,358.06/132,246.25
  6. Step 6: Final answer
    x = 736,703.15

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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.