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Finding the Third Proportional to 71,546.25 and 155,394.75

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Solution

The third proportional to 71,546.25 and 155,394.75 is: 337,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,546.25 : 155,394.75 = 155,394.75 : x
  2. Step 2: Convert to fraction form
    71,546.25/155,394.75 = 155,394.75/x
  3. Step 3: Cross multiply
    71,546.25x = 155,394.75 × 155,394.75
  4. Step 4: Simplify right side
    71,546.25x = 24,147,528,327.56
  5. Step 5: Solve for x
    x = 24,147,528,327.56/71,546.25
  6. Step 6: Final answer
    x = 337,509.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.