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Finding the Third Proportional to 169,781.25 and 229,759.50

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Solution

The third proportional to 169,781.25 and 229,759.50 is: 310,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,781.25 : 229,759.50 = 229,759.50 : x
  2. Step 2: Convert to fraction form
    169,781.25/229,759.50 = 229,759.50/x
  3. Step 3: Cross multiply
    169,781.25x = 229,759.50 × 229,759.50
  4. Step 4: Simplify right side
    169,781.25x = 52,789,427,840.25
  5. Step 5: Solve for x
    x = 52,789,427,840.25/169,781.25
  6. Step 6: Final answer
    x = 310,926.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.