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Finding the Third Proportional to 207,096.75 and 446,816.25

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Solution

The third proportional to 207,096.75 and 446,816.25 is: 964,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,096.75 : 446,816.25 = 446,816.25 : x
  2. Step 2: Convert to fraction form
    207,096.75/446,816.25 = 446,816.25/x
  3. Step 3: Cross multiply
    207,096.75x = 446,816.25 × 446,816.25
  4. Step 4: Simplify right side
    207,096.75x = 199,644,761,264.06
  5. Step 5: Solve for x
    x = 199,644,761,264.06/207,096.75
  6. Step 6: Final answer
    x = 964,016.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.