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Finding the Third Proportional to 175,846 and 378,335

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Solution

The third proportional to 175,846 and 378,335 is: 813,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,846 : 378,335 = 378,335 : x
  2. Step 2: Convert to fraction form
    175,846/378,335 = 378,335/x
  3. Step 3: Cross multiply
    175,846x = 378,335 × 378,335
  4. Step 4: Simplify right side
    175,846x = 143,137,372,225
  5. Step 5: Solve for x
    x = 143,137,372,225/175,846
  6. Step 6: Final answer
    x = 813,992.77

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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.