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Finding the Third Proportional to 174,252 and 377,754

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Solution

The third proportional to 174,252 and 377,754 is: 818,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,252 : 377,754 = 377,754 : x
  2. Step 2: Convert to fraction form
    174,252/377,754 = 377,754/x
  3. Step 3: Cross multiply
    174,252x = 377,754 × 377,754
  4. Step 4: Simplify right side
    174,252x = 142,698,084,516
  5. Step 5: Solve for x
    x = 142,698,084,516/174,252
  6. Step 6: Final answer
    x = 818,917.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.