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Finding the Third Proportional to 109,539 and 233,202

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Solution

The third proportional to 109,539 and 233,202 is: 496,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,539 : 233,202 = 233,202 : x
  2. Step 2: Convert to fraction form
    109,539/233,202 = 233,202/x
  3. Step 3: Cross multiply
    109,539x = 233,202 × 233,202
  4. Step 4: Simplify right side
    109,539x = 54,383,172,804
  5. Step 5: Solve for x
    x = 54,383,172,804/109,539
  6. Step 6: Final answer
    x = 496,473.15

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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.