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Finding the Third Proportional to 127,895 and 278,496

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Solution

The third proportional to 127,895 and 278,496 is: 606,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,895 : 278,496 = 278,496 : x
  2. Step 2: Convert to fraction form
    127,895/278,496 = 278,496/x
  3. Step 3: Cross multiply
    127,895x = 278,496 × 278,496
  4. Step 4: Simplify right side
    127,895x = 77,560,022,016
  5. Step 5: Solve for x
    x = 77,560,022,016/127,895
  6. Step 6: Final answer
    x = 606,435.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.