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Finding the Third Proportional to 204,174 and 266,895

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Solution

The third proportional to 204,174 and 266,895 is: 348,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,174 : 266,895 = 266,895 : x
  2. Step 2: Convert to fraction form
    204,174/266,895 = 266,895/x
  3. Step 3: Cross multiply
    204,174x = 266,895 × 266,895
  4. Step 4: Simplify right side
    204,174x = 71,232,941,025
  5. Step 5: Solve for x
    x = 71,232,941,025/204,174
  6. Step 6: Final answer
    x = 348,883.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.