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Finding the Third Proportional to 169,009.50 and 252,987

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Solution

The third proportional to 169,009.50 and 252,987 is: 378,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,009.50 : 252,987 = 252,987 : x
  2. Step 2: Convert to fraction form
    169,009.50/252,987 = 252,987/x
  3. Step 3: Cross multiply
    169,009.50x = 252,987 × 252,987
  4. Step 4: Simplify right side
    169,009.50x = 64,002,422,169
  5. Step 5: Solve for x
    x = 64,002,422,169/169,009.50
  6. Step 6: Final answer
    x = 378,691.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.