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Finding the Third Proportional to 112,824 and 247,787

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Solution

The third proportional to 112,824 and 247,787 is: 544,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,824 : 247,787 = 247,787 : x
  2. Step 2: Convert to fraction form
    112,824/247,787 = 247,787/x
  3. Step 3: Cross multiply
    112,824x = 247,787 × 247,787
  4. Step 4: Simplify right side
    112,824x = 61,398,397,369
  5. Step 5: Solve for x
    x = 61,398,397,369/112,824
  6. Step 6: Final answer
    x = 544,196.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.