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Finding the Third Proportional to 112,038 and 241,356

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Solution

The third proportional to 112,038 and 241,356 is: 519,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,038 : 241,356 = 241,356 : x
  2. Step 2: Convert to fraction form
    112,038/241,356 = 241,356/x
  3. Step 3: Cross multiply
    112,038x = 241,356 × 241,356
  4. Step 4: Simplify right side
    112,038x = 58,252,718,736
  5. Step 5: Solve for x
    x = 58,252,718,736/112,038
  6. Step 6: Final answer
    x = 519,937.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.