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Finding the Third Proportional to 105,286 and 227,430

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Solution

The third proportional to 105,286 and 227,430 is: 491,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,286 : 227,430 = 227,430 : x
  2. Step 2: Convert to fraction form
    105,286/227,430 = 227,430/x
  3. Step 3: Cross multiply
    105,286x = 227,430 × 227,430
  4. Step 4: Simplify right side
    105,286x = 51,724,404,900
  5. Step 5: Solve for x
    x = 51,724,404,900/105,286
  6. Step 6: Final answer
    x = 491,275.24

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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.