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Finding the Third Proportional to 148,082 and 216,567

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Solution

The third proportional to 148,082 and 216,567 is: 316,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,082 : 216,567 = 216,567 : x
  2. Step 2: Convert to fraction form
    148,082/216,567 = 216,567/x
  3. Step 3: Cross multiply
    148,082x = 216,567 × 216,567
  4. Step 4: Simplify right side
    148,082x = 46,901,265,489
  5. Step 5: Solve for x
    x = 46,901,265,489/148,082
  6. Step 6: Final answer
    x = 316,724.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.