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Finding the Third Proportional to 207,258.75 and 446,299.88

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Solution

The third proportional to 207,258.75 and 446,299.88 is: 961,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,258.75 : 446,299.88 = 446,299.88 : x
  2. Step 2: Convert to fraction form
    207,258.75/446,299.88 = 446,299.88/x
  3. Step 3: Cross multiply
    207,258.75x = 446,299.88 × 446,299.88
  4. Step 4: Simplify right side
    207,258.75x = 199,183,578,425.02
  5. Step 5: Solve for x
    x = 199,183,578,425.02/207,258.75
  6. Step 6: Final answer
    x = 961,038.21

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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.