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Finding the Third Proportional to 159,877.50 and 345,372

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Solution

The third proportional to 159,877.50 and 345,372 is: 746,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,877.50 : 345,372 = 345,372 : x
  2. Step 2: Convert to fraction form
    159,877.50/345,372 = 345,372/x
  3. Step 3: Cross multiply
    159,877.50x = 345,372 × 345,372
  4. Step 4: Simplify right side
    159,877.50x = 119,281,818,384
  5. Step 5: Solve for x
    x = 119,281,818,384/159,877.50
  6. Step 6: Final answer
    x = 746,082.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.