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Finding the Third Proportional to 109,412 and 234,376

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Solution

The third proportional to 109,412 and 234,376 is: 502,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,412 : 234,376 = 234,376 : x
  2. Step 2: Convert to fraction form
    109,412/234,376 = 234,376/x
  3. Step 3: Cross multiply
    109,412x = 234,376 × 234,376
  4. Step 4: Simplify right side
    109,412x = 54,932,109,376
  5. Step 5: Solve for x
    x = 54,932,109,376/109,412
  6. Step 6: Final answer
    x = 502,066.59

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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.