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Finding the Third Proportional to 123,373.13 and 262,310.91

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Solution

The third proportional to 123,373.13 and 262,310.91 is: 557,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,373.13 : 262,310.91 = 262,310.91 : x
  2. Step 2: Convert to fraction form
    123,373.13/262,310.91 = 262,310.91/x
  3. Step 3: Cross multiply
    123,373.13x = 262,310.91 × 262,310.91
  4. Step 4: Simplify right side
    123,373.13x = 68,807,011,537.70
  5. Step 5: Solve for x
    x = 68,807,011,537.70/123,373.13
  6. Step 6: Final answer
    x = 557,714.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.