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Finding the Third Proportional to 160,562.25 and 225,534.38

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Solution

The third proportional to 160,562.25 and 225,534.38 is: 316,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,562.25 : 225,534.38 = 225,534.38 : x
  2. Step 2: Convert to fraction form
    160,562.25/225,534.38 = 225,534.38/x
  3. Step 3: Cross multiply
    160,562.25x = 225,534.38 × 225,534.38
  4. Step 4: Simplify right side
    160,562.25x = 50,865,754,306.64
  5. Step 5: Solve for x
    x = 50,865,754,306.64/160,562.25
  6. Step 6: Final answer
    x = 316,797.72

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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.