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Finding the Third Proportional to 161,566 and 345,122

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Solution

The third proportional to 161,566 and 345,122 is: 737,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,566 : 345,122 = 345,122 : x
  2. Step 2: Convert to fraction form
    161,566/345,122 = 345,122/x
  3. Step 3: Cross multiply
    161,566x = 345,122 × 345,122
  4. Step 4: Simplify right side
    161,566x = 119,109,194,884
  5. Step 5: Solve for x
    x = 119,109,194,884/161,566
  6. Step 6: Final answer
    x = 737,216.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.