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Finding the Third Proportional to 103,862 and 227,488

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Solution

The third proportional to 103,862 and 227,488 is: 498,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,862 : 227,488 = 227,488 : x
  2. Step 2: Convert to fraction form
    103,862/227,488 = 227,488/x
  3. Step 3: Cross multiply
    103,862x = 227,488 × 227,488
  4. Step 4: Simplify right side
    103,862x = 51,750,790,144
  5. Step 5: Solve for x
    x = 51,750,790,144/103,862
  6. Step 6: Final answer
    x = 498,264.91

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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.