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Finding the Third Proportional to 738.75 and 1,182.38

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Solution

The third proportional to 738.75 and 1,182.38 is: 1,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.75 : 1,182.38 = 1,182.38 : x
  2. Step 2: Convert to fraction form
    738.75/1,182.38 = 1,182.38/x
  3. Step 3: Cross multiply
    738.75x = 1,182.38 × 1,182.38
  4. Step 4: Simplify right side
    738.75x = 1,398,010.64
  5. Step 5: Solve for x
    x = 1,398,010.64/738.75
  6. Step 6: Final answer
    x = 1,892.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.