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Finding the Third Proportional to 850.13 and 1,177.31

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Solution

The third proportional to 850.13 and 1,177.31 is: 1,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.13 : 1,177.31 = 1,177.31 : x
  2. Step 2: Convert to fraction form
    850.13/1,177.31 = 1,177.31/x
  3. Step 3: Cross multiply
    850.13x = 1,177.31 × 1,177.31
  4. Step 4: Simplify right side
    850.13x = 1,386,064.72
  5. Step 5: Solve for x
    x = 1,386,064.72/850.13
  6. Step 6: Final answer
    x = 1,630.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.