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Finding the Third Proportional to 177.19 and 272.53

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Solution

The third proportional to 177.19 and 272.53 is: 419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.19 : 272.53 = 272.53 : x
  2. Step 2: Convert to fraction form
    177.19/272.53 = 272.53/x
  3. Step 3: Cross multiply
    177.19x = 272.53 × 272.53
  4. Step 4: Simplify right side
    177.19x = 74,273.28
  5. Step 5: Solve for x
    x = 74,273.28/177.19
  6. Step 6: Final answer
    x = 419.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.