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Finding the Third Proportional to 177,372 and 377,743

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Solution

The third proportional to 177,372 and 377,743 is: 804,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,372 : 377,743 = 377,743 : x
  2. Step 2: Convert to fraction form
    177,372/377,743 = 377,743/x
  3. Step 3: Cross multiply
    177,372x = 377,743 × 377,743
  4. Step 4: Simplify right side
    177,372x = 142,689,774,049
  5. Step 5: Solve for x
    x = 142,689,774,049/177,372
  6. Step 6: Final answer
    x = 804,466.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.