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Finding the Third Proportional to 169,742.25 and 256,342.50

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Solution

The third proportional to 169,742.25 and 256,342.50 is: 387,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,742.25 : 256,342.50 = 256,342.50 : x
  2. Step 2: Convert to fraction form
    169,742.25/256,342.50 = 256,342.50/x
  3. Step 3: Cross multiply
    169,742.25x = 256,342.50 × 256,342.50
  4. Step 4: Simplify right side
    169,742.25x = 65,711,477,306.25
  5. Step 5: Solve for x
    x = 65,711,477,306.25/169,742.25
  6. Step 6: Final answer
    x = 387,125.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.