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Finding the Third Proportional to 178,972 and 385,965

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Solution

The third proportional to 178,972 and 385,965 is: 832,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,972 : 385,965 = 385,965 : x
  2. Step 2: Convert to fraction form
    178,972/385,965 = 385,965/x
  3. Step 3: Cross multiply
    178,972x = 385,965 × 385,965
  4. Step 4: Simplify right side
    178,972x = 148,968,981,225
  5. Step 5: Solve for x
    x = 148,968,981,225/178,972
  6. Step 6: Final answer
    x = 832,359.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.