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Finding the Third Proportional to 112,904 and 241,376

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Solution

The third proportional to 112,904 and 241,376 is: 516,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,904 : 241,376 = 241,376 : x
  2. Step 2: Convert to fraction form
    112,904/241,376 = 241,376/x
  3. Step 3: Cross multiply
    112,904x = 241,376 × 241,376
  4. Step 4: Simplify right side
    112,904x = 58,262,373,376
  5. Step 5: Solve for x
    x = 58,262,373,376/112,904
  6. Step 6: Final answer
    x = 516,034.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.