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Finding the Third Proportional to 108,643.50 and 251,713.13

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Solution

The third proportional to 108,643.50 and 251,713.13 is: 583,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,643.50 : 251,713.13 = 251,713.13 : x
  2. Step 2: Convert to fraction form
    108,643.50/251,713.13 = 251,713.13/x
  3. Step 3: Cross multiply
    108,643.50x = 251,713.13 × 251,713.13
  4. Step 4: Simplify right side
    108,643.50x = 63,359,497,297.27
  5. Step 5: Solve for x
    x = 63,359,497,297.27/108,643.50
  6. Step 6: Final answer
    x = 583,187.19

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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.