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Finding the Third Proportional to 177,896 and 274,701

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Solution

The third proportional to 177,896 and 274,701 is: 424,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,896 : 274,701 = 274,701 : x
  2. Step 2: Convert to fraction form
    177,896/274,701 = 274,701/x
  3. Step 3: Cross multiply
    177,896x = 274,701 × 274,701
  4. Step 4: Simplify right side
    177,896x = 75,460,639,401
  5. Step 5: Solve for x
    x = 75,460,639,401/177,896
  6. Step 6: Final answer
    x = 424,184.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.