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Finding the Third Proportional to 135,985.50 and 224,734.50

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Solution

The third proportional to 135,985.50 and 224,734.50 is: 371,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,985.50 : 224,734.50 = 224,734.50 : x
  2. Step 2: Convert to fraction form
    135,985.50/224,734.50 = 224,734.50/x
  3. Step 3: Cross multiply
    135,985.50x = 224,734.50 × 224,734.50
  4. Step 4: Simplify right side
    135,985.50x = 50,505,595,490.25
  5. Step 5: Solve for x
    x = 50,505,595,490.25/135,985.50
  6. Step 6: Final answer
    x = 371,404.27

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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.