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Finding the Third Proportional to 132,109.50 and 294,474

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Solution

The third proportional to 132,109.50 and 294,474 is: 656,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,109.50 : 294,474 = 294,474 : x
  2. Step 2: Convert to fraction form
    132,109.50/294,474 = 294,474/x
  3. Step 3: Cross multiply
    132,109.50x = 294,474 × 294,474
  4. Step 4: Simplify right side
    132,109.50x = 86,714,936,676
  5. Step 5: Solve for x
    x = 86,714,936,676/132,109.50
  6. Step 6: Final answer
    x = 656,386.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.