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Finding the Third Proportional to 179,472 and 377,520

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Solution

The third proportional to 179,472 and 377,520 is: 794,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,472 : 377,520 = 377,520 : x
  2. Step 2: Convert to fraction form
    179,472/377,520 = 377,520/x
  3. Step 3: Cross multiply
    179,472x = 377,520 × 377,520
  4. Step 4: Simplify right side
    179,472x = 142,521,350,400
  5. Step 5: Solve for x
    x = 142,521,350,400/179,472
  6. Step 6: Final answer
    x = 794,114.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.