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Finding the Third Proportional to 95,278 and 209,468

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Solution

The third proportional to 95,278 and 209,468 is: 460,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,278 : 209,468 = 209,468 : x
  2. Step 2: Convert to fraction form
    95,278/209,468 = 209,468/x
  3. Step 3: Cross multiply
    95,278x = 209,468 × 209,468
  4. Step 4: Simplify right side
    95,278x = 43,876,843,024
  5. Step 5: Solve for x
    x = 43,876,843,024/95,278
  6. Step 6: Final answer
    x = 460,513.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.