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Finding the Third Proportional to 161,897 and 347,581

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Solution

The third proportional to 161,897 and 347,581 is: 746,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,897 : 347,581 = 347,581 : x
  2. Step 2: Convert to fraction form
    161,897/347,581 = 347,581/x
  3. Step 3: Cross multiply
    161,897x = 347,581 × 347,581
  4. Step 4: Simplify right side
    161,897x = 120,812,551,561
  5. Step 5: Solve for x
    x = 120,812,551,561/161,897
  6. Step 6: Final answer
    x = 746,230.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.