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Finding the Third Proportional to 161,269.13 and 225,562.13

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Solution

The third proportional to 161,269.13 and 225,562.13 is: 315,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,269.13 : 225,562.13 = 225,562.13 : x
  2. Step 2: Convert to fraction form
    161,269.13/225,562.13 = 225,562.13/x
  3. Step 3: Cross multiply
    161,269.13x = 225,562.13 × 225,562.13
  4. Step 4: Simplify right side
    161,269.13x = 50,878,272,234.52
  5. Step 5: Solve for x
    x = 50,878,272,234.52/161,269.13
  6. Step 6: Final answer
    x = 315,486.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.