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Finding the Third Proportional to 200,934 and 310,850

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Solution

The third proportional to 200,934 and 310,850 is: 480,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,934 : 310,850 = 310,850 : x
  2. Step 2: Convert to fraction form
    200,934/310,850 = 310,850/x
  3. Step 3: Cross multiply
    200,934x = 310,850 × 310,850
  4. Step 4: Simplify right side
    200,934x = 96,627,722,500
  5. Step 5: Solve for x
    x = 96,627,722,500/200,934
  6. Step 6: Final answer
    x = 480,892.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.