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Finding the Third Proportional to 94,734 and 200,340

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Solution

The third proportional to 94,734 and 200,340 is: 423,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,734 : 200,340 = 200,340 : x
  2. Step 2: Convert to fraction form
    94,734/200,340 = 200,340/x
  3. Step 3: Cross multiply
    94,734x = 200,340 × 200,340
  4. Step 4: Simplify right side
    94,734x = 40,136,115,600
  5. Step 5: Solve for x
    x = 40,136,115,600/94,734
  6. Step 6: Final answer
    x = 423,671.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.