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Finding the Third Proportional to 127,206 and 251,214

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Solution

The third proportional to 127,206 and 251,214 is: 496,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,206 : 251,214 = 251,214 : x
  2. Step 2: Convert to fraction form
    127,206/251,214 = 251,214/x
  3. Step 3: Cross multiply
    127,206x = 251,214 × 251,214
  4. Step 4: Simplify right side
    127,206x = 63,108,473,796
  5. Step 5: Solve for x
    x = 63,108,473,796/127,206
  6. Step 6: Final answer
    x = 496,112.40

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.