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Finding the Third Proportional to 153,910.13 and 356,617.69

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Solution

The third proportional to 153,910.13 and 356,617.69 is: 826,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,910.13 : 356,617.69 = 356,617.69 : x
  2. Step 2: Convert to fraction form
    153,910.13/356,617.69 = 356,617.69/x
  3. Step 3: Cross multiply
    153,910.13x = 356,617.69 × 356,617.69
  4. Step 4: Simplify right side
    153,910.13x = 127,176,175,037.85
  5. Step 5: Solve for x
    x = 127,176,175,037.85/153,910.13
  6. Step 6: Final answer
    x = 826,301.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.