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Finding the Third Proportional to 102,654 and 225,486

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Solution

The third proportional to 102,654 and 225,486 is: 495,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,654 : 225,486 = 225,486 : x
  2. Step 2: Convert to fraction form
    102,654/225,486 = 225,486/x
  3. Step 3: Cross multiply
    102,654x = 225,486 × 225,486
  4. Step 4: Simplify right side
    102,654x = 50,843,936,196
  5. Step 5: Solve for x
    x = 50,843,936,196/102,654
  6. Step 6: Final answer
    x = 495,294.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.