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Finding the Third Proportional to 112,387 and 240,767

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Solution

The third proportional to 112,387 and 240,767 is: 515,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,387 : 240,767 = 240,767 : x
  2. Step 2: Convert to fraction form
    112,387/240,767 = 240,767/x
  3. Step 3: Cross multiply
    112,387x = 240,767 × 240,767
  4. Step 4: Simplify right side
    112,387x = 57,968,748,289
  5. Step 5: Solve for x
    x = 57,968,748,289/112,387
  6. Step 6: Final answer
    x = 515,795.85

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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.