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Finding the Third Proportional to 179,192 and 384,948

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Solution

The third proportional to 179,192 and 384,948 is: 826,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,192 : 384,948 = 384,948 : x
  2. Step 2: Convert to fraction form
    179,192/384,948 = 384,948/x
  3. Step 3: Cross multiply
    179,192x = 384,948 × 384,948
  4. Step 4: Simplify right side
    179,192x = 148,184,962,704
  5. Step 5: Solve for x
    x = 148,184,962,704/179,192
  6. Step 6: Final answer
    x = 826,961.93

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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.