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Finding the Third Proportional to 100,617.50 and 207,614

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Solution

The third proportional to 100,617.50 and 207,614 is: 428,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,617.50 : 207,614 = 207,614 : x
  2. Step 2: Convert to fraction form
    100,617.50/207,614 = 207,614/x
  3. Step 3: Cross multiply
    100,617.50x = 207,614 × 207,614
  4. Step 4: Simplify right side
    100,617.50x = 43,103,572,996
  5. Step 5: Solve for x
    x = 43,103,572,996/100,617.50
  6. Step 6: Final answer
    x = 428,390.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.