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Finding the Third Proportional to 206,671 and 292,520.50

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Solution

The third proportional to 206,671 and 292,520.50 is: 414,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,671 : 292,520.50 = 292,520.50 : x
  2. Step 2: Convert to fraction form
    206,671/292,520.50 = 292,520.50/x
  3. Step 3: Cross multiply
    206,671x = 292,520.50 × 292,520.50
  4. Step 4: Simplify right side
    206,671x = 85,568,242,920.25
  5. Step 5: Solve for x
    x = 85,568,242,920.25/206,671
  6. Step 6: Final answer
    x = 414,031.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.