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Finding the Third Proportional to 127,986 and 278,538

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Solution

The third proportional to 127,986 and 278,538 is: 606,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,986 : 278,538 = 278,538 : x
  2. Step 2: Convert to fraction form
    127,986/278,538 = 278,538/x
  3. Step 3: Cross multiply
    127,986x = 278,538 × 278,538
  4. Step 4: Simplify right side
    127,986x = 77,583,417,444
  5. Step 5: Solve for x
    x = 77,583,417,444/127,986
  6. Step 6: Final answer
    x = 606,186.75

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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.