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Finding the Third Proportional to 127,567 and 278,097

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Solution

The third proportional to 127,567 and 278,097 is: 606,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,567 : 278,097 = 278,097 : x
  2. Step 2: Convert to fraction form
    127,567/278,097 = 278,097/x
  3. Step 3: Cross multiply
    127,567x = 278,097 × 278,097
  4. Step 4: Simplify right side
    127,567x = 77,337,941,409
  5. Step 5: Solve for x
    x = 77,337,941,409/127,567
  6. Step 6: Final answer
    x = 606,253.51

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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.