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Finding the Third Proportional to 107,798 and 229,204

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Solution

The third proportional to 107,798 and 229,204 is: 487,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,798 : 229,204 = 229,204 : x
  2. Step 2: Convert to fraction form
    107,798/229,204 = 229,204/x
  3. Step 3: Cross multiply
    107,798x = 229,204 × 229,204
  4. Step 4: Simplify right side
    107,798x = 52,534,473,616
  5. Step 5: Solve for x
    x = 52,534,473,616/107,798
  6. Step 6: Final answer
    x = 487,341.82

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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.