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Finding the Third Proportional to 132,340.50 and 312,360

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Solution

The third proportional to 132,340.50 and 312,360 is: 737,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,340.50 : 312,360 = 312,360 : x
  2. Step 2: Convert to fraction form
    132,340.50/312,360 = 312,360/x
  3. Step 3: Cross multiply
    132,340.50x = 312,360 × 312,360
  4. Step 4: Simplify right side
    132,340.50x = 97,568,769,600
  5. Step 5: Solve for x
    x = 97,568,769,600/132,340.50
  6. Step 6: Final answer
    x = 737,255.56

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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.