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Finding the Third Proportional to 127,288 and 251,362

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Solution

The third proportional to 127,288 and 251,362 is: 496,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,288 : 251,362 = 251,362 : x
  2. Step 2: Convert to fraction form
    127,288/251,362 = 251,362/x
  3. Step 3: Cross multiply
    127,288x = 251,362 × 251,362
  4. Step 4: Simplify right side
    127,288x = 63,182,855,044
  5. Step 5: Solve for x
    x = 63,182,855,044/127,288
  6. Step 6: Final answer
    x = 496,377.15

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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.