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Finding the Third Proportional to 177,072 and 270,216

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Solution

The third proportional to 177,072 and 270,216 is: 412,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,072 : 270,216 = 270,216 : x
  2. Step 2: Convert to fraction form
    177,072/270,216 = 270,216/x
  3. Step 3: Cross multiply
    177,072x = 270,216 × 270,216
  4. Step 4: Simplify right side
    177,072x = 73,016,686,656
  5. Step 5: Solve for x
    x = 73,016,686,656/177,072
  6. Step 6: Final answer
    x = 412,355.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.