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Finding the Third Proportional to 177,231.38 and 263,064.38

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Solution

The third proportional to 177,231.38 and 263,064.38 is: 390,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,231.38 : 263,064.38 = 263,064.38 : x
  2. Step 2: Convert to fraction form
    177,231.38/263,064.38 = 263,064.38/x
  3. Step 3: Cross multiply
    177,231.38x = 263,064.38 × 263,064.38
  4. Step 4: Simplify right side
    177,231.38x = 69,202,865,394.14
  5. Step 5: Solve for x
    x = 69,202,865,394.14/177,231.38
  6. Step 6: Final answer
    x = 390,466.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.