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Finding the Third Proportional to 207,264 and 446,239.50

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Solution

The third proportional to 207,264 and 446,239.50 is: 960,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,264 : 446,239.50 = 446,239.50 : x
  2. Step 2: Convert to fraction form
    207,264/446,239.50 = 446,239.50/x
  3. Step 3: Cross multiply
    207,264x = 446,239.50 × 446,239.50
  4. Step 4: Simplify right side
    207,264x = 199,129,691,360.25
  5. Step 5: Solve for x
    x = 199,129,691,360.25/207,264
  6. Step 6: Final answer
    x = 960,753.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.