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Finding the Third Proportional to 177,453 and 387,023

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Solution

The third proportional to 177,453 and 387,023 is: 844,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,453 : 387,023 = 387,023 : x
  2. Step 2: Convert to fraction form
    177,453/387,023 = 387,023/x
  3. Step 3: Cross multiply
    177,453x = 387,023 × 387,023
  4. Step 4: Simplify right side
    177,453x = 149,786,802,529
  5. Step 5: Solve for x
    x = 149,786,802,529/177,453
  6. Step 6: Final answer
    x = 844,092.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.