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Finding the Third Proportional to 137,549.39 and 283,937.91

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Solution

The third proportional to 137,549.39 and 283,937.91 is: 586,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,549.39 : 283,937.91 = 283,937.91 : x
  2. Step 2: Convert to fraction form
    137,549.39/283,937.91 = 283,937.91/x
  3. Step 3: Cross multiply
    137,549.39x = 283,937.91 × 283,937.91
  4. Step 4: Simplify right side
    137,549.39x = 80,620,734,605.63
  5. Step 5: Solve for x
    x = 80,620,734,605.63/137,549.39
  6. Step 6: Final answer
    x = 586,122.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.