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Finding the Third Proportional to 112,374 and 255,924

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Solution

The third proportional to 112,374 and 255,924 is: 582,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,374 : 255,924 = 255,924 : x
  2. Step 2: Convert to fraction form
    112,374/255,924 = 255,924/x
  3. Step 3: Cross multiply
    112,374x = 255,924 × 255,924
  4. Step 4: Simplify right side
    112,374x = 65,497,093,776
  5. Step 5: Solve for x
    x = 65,497,093,776/112,374
  6. Step 6: Final answer
    x = 582,849.18

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.