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Finding the Third Proportional to 112,340 and 245,781

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Solution

The third proportional to 112,340 and 245,781 is: 537,727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,340 : 245,781 = 245,781 : x
  2. Step 2: Convert to fraction form
    112,340/245,781 = 245,781/x
  3. Step 3: Cross multiply
    112,340x = 245,781 × 245,781
  4. Step 4: Simplify right side
    112,340x = 60,408,299,961
  5. Step 5: Solve for x
    x = 60,408,299,961/112,340
  6. Step 6: Final answer
    x = 537,727.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.