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Finding the Third Proportional to 175,633 and 377,893

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Solution

The third proportional to 175,633 and 377,893 is: 813,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,633 : 377,893 = 377,893 : x
  2. Step 2: Convert to fraction form
    175,633/377,893 = 377,893/x
  3. Step 3: Cross multiply
    175,633x = 377,893 × 377,893
  4. Step 4: Simplify right side
    175,633x = 142,803,119,449
  5. Step 5: Solve for x
    x = 142,803,119,449/175,633
  6. Step 6: Final answer
    x = 813,076.81

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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.