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Finding the Third Proportional to 112,652 and 244,902

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Solution

The third proportional to 112,652 and 244,902 is: 532,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,652 : 244,902 = 244,902 : x
  2. Step 2: Convert to fraction form
    112,652/244,902 = 244,902/x
  3. Step 3: Cross multiply
    112,652x = 244,902 × 244,902
  4. Step 4: Simplify right side
    112,652x = 59,976,989,604
  5. Step 5: Solve for x
    x = 59,976,989,604/112,652
  6. Step 6: Final answer
    x = 532,409.45

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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.