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Finding the Third Proportional to 127,904 and 273,328

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Solution

The third proportional to 127,904 and 273,328 is: 584,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,904 : 273,328 = 273,328 : x
  2. Step 2: Convert to fraction form
    127,904/273,328 = 273,328/x
  3. Step 3: Cross multiply
    127,904x = 273,328 × 273,328
  4. Step 4: Simplify right side
    127,904x = 74,708,195,584
  5. Step 5: Solve for x
    x = 74,708,195,584/127,904
  6. Step 6: Final answer
    x = 584,095.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.