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Finding the Third Proportional to 105,418 and 230,292

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Solution

The third proportional to 105,418 and 230,292 is: 503,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,418 : 230,292 = 230,292 : x
  2. Step 2: Convert to fraction form
    105,418/230,292 = 230,292/x
  3. Step 3: Cross multiply
    105,418x = 230,292 × 230,292
  4. Step 4: Simplify right side
    105,418x = 53,034,405,264
  5. Step 5: Solve for x
    x = 53,034,405,264/105,418
  6. Step 6: Final answer
    x = 503,086.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.