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Finding the Third Proportional to 207.14 and 443.07

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Solution

The third proportional to 207.14 and 443.07 is: 947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.14 : 443.07 = 443.07 : x
  2. Step 2: Convert to fraction form
    207.14/443.07 = 443.07/x
  3. Step 3: Cross multiply
    207.14x = 443.07 × 443.07
  4. Step 4: Simplify right side
    207.14x = 196,314.76
  5. Step 5: Solve for x
    x = 196,314.76/207.14
  6. Step 6: Final answer
    x = 947.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.