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Finding the Third Proportional to 135,892.50 and 224,595

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Solution

The third proportional to 135,892.50 and 224,595 is: 371,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,892.50 : 224,595 = 224,595 : x
  2. Step 2: Convert to fraction form
    135,892.50/224,595 = 224,595/x
  3. Step 3: Cross multiply
    135,892.50x = 224,595 × 224,595
  4. Step 4: Simplify right side
    135,892.50x = 50,442,914,025
  5. Step 5: Solve for x
    x = 50,442,914,025/135,892.50
  6. Step 6: Final answer
    x = 371,197.19

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.