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Finding the Third Proportional to 109,404 and 234,360

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Solution

The third proportional to 109,404 and 234,360 is: 502,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,404 : 234,360 = 234,360 : x
  2. Step 2: Convert to fraction form
    109,404/234,360 = 234,360/x
  3. Step 3: Cross multiply
    109,404x = 234,360 × 234,360
  4. Step 4: Simplify right side
    109,404x = 54,924,609,600
  5. Step 5: Solve for x
    x = 54,924,609,600/109,404
  6. Step 6: Final answer
    x = 502,034.75

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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.