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Finding the Third Proportional to 105,290 and 227,438

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Solution

The third proportional to 105,290 and 227,438 is: 491,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,290 : 227,438 = 227,438 : x
  2. Step 2: Convert to fraction form
    105,290/227,438 = 227,438/x
  3. Step 3: Cross multiply
    105,290x = 227,438 × 227,438
  4. Step 4: Simplify right side
    105,290x = 51,728,043,844
  5. Step 5: Solve for x
    x = 51,728,043,844/105,290
  6. Step 6: Final answer
    x = 491,291.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.