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Finding the Third Proportional to 375.75 and 930.19

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Solution

The third proportional to 375.75 and 930.19 is: 2,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.75 : 930.19 = 930.19 : x
  2. Step 2: Convert to fraction form
    375.75/930.19 = 930.19/x
  3. Step 3: Cross multiply
    375.75x = 930.19 × 930.19
  4. Step 4: Simplify right side
    375.75x = 865,248.79
  5. Step 5: Solve for x
    x = 865,248.79/375.75
  6. Step 6: Final answer
    x = 2,302.72

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.