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Finding the Third Proportional to 107,872 and 236,480

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Solution

The third proportional to 107,872 and 236,480 is: 518,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,872 : 236,480 = 236,480 : x
  2. Step 2: Convert to fraction form
    107,872/236,480 = 236,480/x
  3. Step 3: Cross multiply
    107,872x = 236,480 × 236,480
  4. Step 4: Simplify right side
    107,872x = 55,922,790,400
  5. Step 5: Solve for x
    x = 55,922,790,400/107,872
  6. Step 6: Final answer
    x = 518,418.04

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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.