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Finding the Third Proportional to 375.50 and 552.13

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Solution

The third proportional to 375.50 and 552.13 is: 811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.50 : 552.13 = 552.13 : x
  2. Step 2: Convert to fraction form
    375.50/552.13 = 552.13/x
  3. Step 3: Cross multiply
    375.50x = 552.13 × 552.13
  4. Step 4: Simplify right side
    375.50x = 304,842.02
  5. Step 5: Solve for x
    x = 304,842.02/375.50
  6. Step 6: Final answer
    x = 811.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.