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Finding the Third Proportional to 109,452 and 234,456

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Solution

The third proportional to 109,452 and 234,456 is: 502,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,452 : 234,456 = 234,456 : x
  2. Step 2: Convert to fraction form
    109,452/234,456 = 234,456/x
  3. Step 3: Cross multiply
    109,452x = 234,456 × 234,456
  4. Step 4: Simplify right side
    109,452x = 54,969,615,936
  5. Step 5: Solve for x
    x = 54,969,615,936/109,452
  6. Step 6: Final answer
    x = 502,225.78

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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.