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Finding the Third Proportional to 109,514 and 235,387

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Solution

The third proportional to 109,514 and 235,387 is: 505,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,514 : 235,387 = 235,387 : x
  2. Step 2: Convert to fraction form
    109,514/235,387 = 235,387/x
  3. Step 3: Cross multiply
    109,514x = 235,387 × 235,387
  4. Step 4: Simplify right side
    109,514x = 55,407,039,769
  5. Step 5: Solve for x
    x = 55,407,039,769/109,514
  6. Step 6: Final answer
    x = 505,935.68

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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.