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Finding the Third Proportional to 146,788 and 204,246

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Solution

The third proportional to 146,788 and 204,246 is: 284,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,788 : 204,246 = 204,246 : x
  2. Step 2: Convert to fraction form
    146,788/204,246 = 204,246/x
  3. Step 3: Cross multiply
    146,788x = 204,246 × 204,246
  4. Step 4: Simplify right side
    146,788x = 41,716,428,516
  5. Step 5: Solve for x
    x = 41,716,428,516/146,788
  6. Step 6: Final answer
    x = 284,195.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.