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Finding the Third Proportional to 108,426 and 229,974

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Solution

The third proportional to 108,426 and 229,974 is: 487,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,426 : 229,974 = 229,974 : x
  2. Step 2: Convert to fraction form
    108,426/229,974 = 229,974/x
  3. Step 3: Cross multiply
    108,426x = 229,974 × 229,974
  4. Step 4: Simplify right side
    108,426x = 52,888,040,676
  5. Step 5: Solve for x
    x = 52,888,040,676/108,426
  6. Step 6: Final answer
    x = 487,780.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.