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Finding the Third Proportional to 127,852 and 278,186

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Solution

The third proportional to 127,852 and 278,186 is: 605,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,852 : 278,186 = 278,186 : x
  2. Step 2: Convert to fraction form
    127,852/278,186 = 278,186/x
  3. Step 3: Cross multiply
    127,852x = 278,186 × 278,186
  4. Step 4: Simplify right side
    127,852x = 77,387,450,596
  5. Step 5: Solve for x
    x = 77,387,450,596/127,852
  6. Step 6: Final answer
    x = 605,289.32

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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.