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Finding the Third Proportional to 177.23 and 375.52

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Solution

The third proportional to 177.23 and 375.52 is: 795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.23 : 375.52 = 375.52 : x
  2. Step 2: Convert to fraction form
    177.23/375.52 = 375.52/x
  3. Step 3: Cross multiply
    177.23x = 375.52 × 375.52
  4. Step 4: Simplify right side
    177.23x = 141,011.98
  5. Step 5: Solve for x
    x = 141,011.98/177.23
  6. Step 6: Final answer
    x = 795.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.