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Finding the Third Proportional to 145,006 and 204,204

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Solution

The third proportional to 145,006 and 204,204 is: 287,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,006 : 204,204 = 204,204 : x
  2. Step 2: Convert to fraction form
    145,006/204,204 = 204,204/x
  3. Step 3: Cross multiply
    145,006x = 204,204 × 204,204
  4. Step 4: Simplify right side
    145,006x = 41,699,273,616
  5. Step 5: Solve for x
    x = 41,699,273,616/145,006
  6. Step 6: Final answer
    x = 287,569.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.