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Finding the Third Proportional to 177,466 and 275,313

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Solution

The third proportional to 177,466 and 275,313 is: 427,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,466 : 275,313 = 275,313 : x
  2. Step 2: Convert to fraction form
    177,466/275,313 = 275,313/x
  3. Step 3: Cross multiply
    177,466x = 275,313 × 275,313
  4. Step 4: Simplify right side
    177,466x = 75,797,247,969
  5. Step 5: Solve for x
    x = 75,797,247,969/177,466
  6. Step 6: Final answer
    x = 427,108.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.