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Finding the Third Proportional to 148,437.56 and 323,517.38

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Solution

The third proportional to 148,437.56 and 323,517.38 is: 705,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,437.56 : 323,517.38 = 323,517.38 : x
  2. Step 2: Convert to fraction form
    148,437.56/323,517.38 = 323,517.38/x
  3. Step 3: Cross multiply
    148,437.56x = 323,517.38 × 323,517.38
  4. Step 4: Simplify right side
    148,437.56x = 104,663,491,926.89
  5. Step 5: Solve for x
    x = 104,663,491,926.89/148,437.56
  6. Step 6: Final answer
    x = 705,101.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.