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Finding the Third Proportional to 175,655 and 377,932

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Solution

The third proportional to 175,655 and 377,932 is: 813,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,655 : 377,932 = 377,932 : x
  2. Step 2: Convert to fraction form
    175,655/377,932 = 377,932/x
  3. Step 3: Cross multiply
    175,655x = 377,932 × 377,932
  4. Step 4: Simplify right side
    175,655x = 142,832,596,624
  5. Step 5: Solve for x
    x = 142,832,596,624/175,655
  6. Step 6: Final answer
    x = 813,142.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.