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Finding the Third Proportional to 127,471 and 202,456

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Solution

The third proportional to 127,471 and 202,456 is: 321,551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,471 : 202,456 = 202,456 : x
  2. Step 2: Convert to fraction form
    127,471/202,456 = 202,456/x
  3. Step 3: Cross multiply
    127,471x = 202,456 × 202,456
  4. Step 4: Simplify right side
    127,471x = 40,988,431,936
  5. Step 5: Solve for x
    x = 40,988,431,936/127,471
  6. Step 6: Final answer
    x = 321,551.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.