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Finding the Third Proportional to 179,864 and 385,972

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Solution

The third proportional to 179,864 and 385,972 is: 828,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,864 : 385,972 = 385,972 : x
  2. Step 2: Convert to fraction form
    179,864/385,972 = 385,972/x
  3. Step 3: Cross multiply
    179,864x = 385,972 × 385,972
  4. Step 4: Simplify right side
    179,864x = 148,974,384,784
  5. Step 5: Solve for x
    x = 148,974,384,784/179,864
  6. Step 6: Final answer
    x = 828,261.27

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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.