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Finding the Third Proportional to 161,860.13 and 253,910.88

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Solution

The third proportional to 161,860.13 and 253,910.88 is: 398,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,860.13 : 253,910.88 = 253,910.88 : x
  2. Step 2: Convert to fraction form
    161,860.13/253,910.88 = 253,910.88/x
  3. Step 3: Cross multiply
    161,860.13x = 253,910.88 × 253,910.88
  4. Step 4: Simplify right side
    161,860.13x = 64,470,732,443.27
  5. Step 5: Solve for x
    x = 64,470,732,443.27/161,860.13
  6. Step 6: Final answer
    x = 398,311.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.