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Finding the Third Proportional to 127,334 and 279,151

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Solution

The third proportional to 127,334 and 279,151 is: 611,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,334 : 279,151 = 279,151 : x
  2. Step 2: Convert to fraction form
    127,334/279,151 = 279,151/x
  3. Step 3: Cross multiply
    127,334x = 279,151 × 279,151
  4. Step 4: Simplify right side
    127,334x = 77,925,280,801
  5. Step 5: Solve for x
    x = 77,925,280,801/127,334
  6. Step 6: Final answer
    x = 611,975.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.