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Finding the Third Proportional to 159,656 and 266,082.50

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Solution

The third proportional to 159,656 and 266,082.50 is: 443,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,656 : 266,082.50 = 266,082.50 : x
  2. Step 2: Convert to fraction form
    159,656/266,082.50 = 266,082.50/x
  3. Step 3: Cross multiply
    159,656x = 266,082.50 × 266,082.50
  4. Step 4: Simplify right side
    159,656x = 70,799,896,806.25
  5. Step 5: Solve for x
    x = 70,799,896,806.25/159,656
  6. Step 6: Final answer
    x = 443,452.78

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.