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Finding the Third Proportional to 177.38 and 373.88

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Solution

The third proportional to 177.38 and 373.88 is: 788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 373.88 = 373.88 : x
  2. Step 2: Convert to fraction form
    177.38/373.88 = 373.88/x
  3. Step 3: Cross multiply
    177.38x = 373.88 × 373.88
  4. Step 4: Simplify right side
    177.38x = 139,782.52
  5. Step 5: Solve for x
    x = 139,782.52/177.38
  6. Step 6: Final answer
    x = 788.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.