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Finding the Third Proportional to 112,617 and 247,383

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Solution

The third proportional to 112,617 and 247,383 is: 543,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,617 : 247,383 = 247,383 : x
  2. Step 2: Convert to fraction form
    112,617/247,383 = 247,383/x
  3. Step 3: Cross multiply
    112,617x = 247,383 × 247,383
  4. Step 4: Simplify right side
    112,617x = 61,198,348,689
  5. Step 5: Solve for x
    x = 61,198,348,689/112,617
  6. Step 6: Final answer
    x = 543,420.16

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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.