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Finding the Third Proportional to 943.73 and 1,117.34

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Solution

The third proportional to 943.73 and 1,117.34 is: 1,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.73 : 1,117.34 = 1,117.34 : x
  2. Step 2: Convert to fraction form
    943.73/1,117.34 = 1,117.34/x
  3. Step 3: Cross multiply
    943.73x = 1,117.34 × 1,117.34
  4. Step 4: Simplify right side
    943.73x = 1,248,439.60
  5. Step 5: Solve for x
    x = 1,248,439.60/943.73
  6. Step 6: Final answer
    x = 1,322.87

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.