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Finding the Third Proportional to 177,384 and 265,377

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Solution

The third proportional to 177,384 and 265,377 is: 397,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,384 : 265,377 = 265,377 : x
  2. Step 2: Convert to fraction form
    177,384/265,377 = 265,377/x
  3. Step 3: Cross multiply
    177,384x = 265,377 × 265,377
  4. Step 4: Simplify right side
    177,384x = 70,424,952,129
  5. Step 5: Solve for x
    x = 70,424,952,129/177,384
  6. Step 6: Final answer
    x = 397,019.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.