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Finding the Third Proportional to 209,142 and 315,675

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Solution

The third proportional to 209,142 and 315,675 is: 476,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,142 : 315,675 = 315,675 : x
  2. Step 2: Convert to fraction form
    209,142/315,675 = 315,675/x
  3. Step 3: Cross multiply
    209,142x = 315,675 × 315,675
  4. Step 4: Simplify right side
    209,142x = 99,650,705,625
  5. Step 5: Solve for x
    x = 99,650,705,625/209,142
  6. Step 6: Final answer
    x = 476,473.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.