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Finding the Third Proportional to 215,266 and 295,502

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Solution

The third proportional to 215,266 and 295,502 is: 405,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,266 : 295,502 = 295,502 : x
  2. Step 2: Convert to fraction form
    215,266/295,502 = 295,502/x
  3. Step 3: Cross multiply
    215,266x = 295,502 × 295,502
  4. Step 4: Simplify right side
    215,266x = 87,321,432,004
  5. Step 5: Solve for x
    x = 87,321,432,004/215,266
  6. Step 6: Final answer
    x = 405,644.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.