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Finding the Third Proportional to 109,206 and 233,593

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Solution

The third proportional to 109,206 and 233,593 is: 499,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,206 : 233,593 = 233,593 : x
  2. Step 2: Convert to fraction form
    109,206/233,593 = 233,593/x
  3. Step 3: Cross multiply
    109,206x = 233,593 × 233,593
  4. Step 4: Simplify right side
    109,206x = 54,565,689,649
  5. Step 5: Solve for x
    x = 54,565,689,649/109,206
  6. Step 6: Final answer
    x = 499,658.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.