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Finding the Third Proportional to 112,640 and 244,960

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Solution

The third proportional to 112,640 and 244,960 is: 532,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,640 : 244,960 = 244,960 : x
  2. Step 2: Convert to fraction form
    112,640/244,960 = 244,960/x
  3. Step 3: Cross multiply
    112,640x = 244,960 × 244,960
  4. Step 4: Simplify right side
    112,640x = 60,005,401,600
  5. Step 5: Solve for x
    x = 60,005,401,600/112,640
  6. Step 6: Final answer
    x = 532,718.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.