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Finding the Third Proportional to 135,213.50 and 288,524.50

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Solution

The third proportional to 135,213.50 and 288,524.50 is: 615,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,213.50 : 288,524.50 = 288,524.50 : x
  2. Step 2: Convert to fraction form
    135,213.50/288,524.50 = 288,524.50/x
  3. Step 3: Cross multiply
    135,213.50x = 288,524.50 × 288,524.50
  4. Step 4: Simplify right side
    135,213.50x = 83,246,387,100.25
  5. Step 5: Solve for x
    x = 83,246,387,100.25/135,213.50
  6. Step 6: Final answer
    x = 615,666.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.