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Finding the Third Proportional to 177,333 and 265,374

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Solution

The third proportional to 177,333 and 265,374 is: 397,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,333 : 265,374 = 265,374 : x
  2. Step 2: Convert to fraction form
    177,333/265,374 = 265,374/x
  3. Step 3: Cross multiply
    177,333x = 265,374 × 265,374
  4. Step 4: Simplify right side
    177,333x = 70,423,359,876
  5. Step 5: Solve for x
    x = 70,423,359,876/177,333
  6. Step 6: Final answer
    x = 397,124.96

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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.