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Finding the Third Proportional to 373.31 and 685.03

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Solution

The third proportional to 373.31 and 685.03 is: 1,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.31 : 685.03 = 685.03 : x
  2. Step 2: Convert to fraction form
    373.31/685.03 = 685.03/x
  3. Step 3: Cross multiply
    373.31x = 685.03 × 685.03
  4. Step 4: Simplify right side
    373.31x = 469,267.81
  5. Step 5: Solve for x
    x = 469,267.81/373.31
  6. Step 6: Final answer
    x = 1,257.04

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.