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Finding the Third Proportional to 71,200.25 and 151,604.50

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Solution

The third proportional to 71,200.25 and 151,604.50 is: 322,806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,200.25 : 151,604.50 = 151,604.50 : x
  2. Step 2: Convert to fraction form
    71,200.25/151,604.50 = 151,604.50/x
  3. Step 3: Cross multiply
    71,200.25x = 151,604.50 × 151,604.50
  4. Step 4: Simplify right side
    71,200.25x = 22,983,924,420.25
  5. Step 5: Solve for x
    x = 22,983,924,420.25/71,200.25
  6. Step 6: Final answer
    x = 322,806.79

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