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Finding the Third Proportional to 103,014 and 225,708

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Solution

The third proportional to 103,014 and 225,708 is: 494,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,014 : 225,708 = 225,708 : x
  2. Step 2: Convert to fraction form
    103,014/225,708 = 225,708/x
  3. Step 3: Cross multiply
    103,014x = 225,708 × 225,708
  4. Step 4: Simplify right side
    103,014x = 50,944,101,264
  5. Step 5: Solve for x
    x = 50,944,101,264/103,014
  6. Step 6: Final answer
    x = 494,535.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.