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Finding the Third Proportional to 98,680 and 207,675

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Solution

The third proportional to 98,680 and 207,675 is: 437,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,680 : 207,675 = 207,675 : x
  2. Step 2: Convert to fraction form
    98,680/207,675 = 207,675/x
  3. Step 3: Cross multiply
    98,680x = 207,675 × 207,675
  4. Step 4: Simplify right side
    98,680x = 43,128,905,625
  5. Step 5: Solve for x
    x = 43,128,905,625/98,680
  6. Step 6: Final answer
    x = 437,058.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.