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Finding the Third Proportional to 112,648 and 243,880

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Solution

The third proportional to 112,648 and 243,880 is: 527,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,648 : 243,880 = 243,880 : x
  2. Step 2: Convert to fraction form
    112,648/243,880 = 243,880/x
  3. Step 3: Cross multiply
    112,648x = 243,880 × 243,880
  4. Step 4: Simplify right side
    112,648x = 59,477,454,400
  5. Step 5: Solve for x
    x = 59,477,454,400/112,648
  6. Step 6: Final answer
    x = 527,993.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.