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Finding the Third Proportional to 127,963.13 and 278,616.38

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Solution

The third proportional to 127,963.13 and 278,616.38 is: 606,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,963.13 : 278,616.38 = 278,616.38 : x
  2. Step 2: Convert to fraction form
    127,963.13/278,616.38 = 278,616.38/x
  3. Step 3: Cross multiply
    127,963.13x = 278,616.38 × 278,616.38
  4. Step 4: Simplify right side
    127,963.13x = 77,627,084,418.14
  5. Step 5: Solve for x
    x = 77,627,084,418.14/127,963.13
  6. Step 6: Final answer
    x = 606,636.36

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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.