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Finding the Third Proportional to 105,002 and 230,418

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Solution

The third proportional to 105,002 and 230,418 is: 505,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,002 : 230,418 = 230,418 : x
  2. Step 2: Convert to fraction form
    105,002/230,418 = 230,418/x
  3. Step 3: Cross multiply
    105,002x = 230,418 × 230,418
  4. Step 4: Simplify right side
    105,002x = 53,092,454,724
  5. Step 5: Solve for x
    x = 53,092,454,724/105,002
  6. Step 6: Final answer
    x = 505,632.79

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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.