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Finding the Third Proportional to 109,140 and 234,228

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Solution

The third proportional to 109,140 and 234,228 is: 502,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,140 : 234,228 = 234,228 : x
  2. Step 2: Convert to fraction form
    109,140/234,228 = 234,228/x
  3. Step 3: Cross multiply
    109,140x = 234,228 × 234,228
  4. Step 4: Simplify right side
    109,140x = 54,862,755,984
  5. Step 5: Solve for x
    x = 54,862,755,984/109,140
  6. Step 6: Final answer
    x = 502,682.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.