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Finding the Third Proportional to 207.56 and 423.98

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Solution

The third proportional to 207.56 and 423.98 is: 866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 423.98 = 423.98 : x
  2. Step 2: Convert to fraction form
    207.56/423.98 = 423.98/x
  3. Step 3: Cross multiply
    207.56x = 423.98 × 423.98
  4. Step 4: Simplify right side
    207.56x = 179,762.75
  5. Step 5: Solve for x
    x = 179,762.75/207.56
  6. Step 6: Final answer
    x = 866.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.