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Finding the Third Proportional to 159,287 and 240,969

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Solution

The third proportional to 159,287 and 240,969 is: 364,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,287 : 240,969 = 240,969 : x
  2. Step 2: Convert to fraction form
    159,287/240,969 = 240,969/x
  3. Step 3: Cross multiply
    159,287x = 240,969 × 240,969
  4. Step 4: Simplify right side
    159,287x = 58,066,058,961
  5. Step 5: Solve for x
    x = 58,066,058,961/159,287
  6. Step 6: Final answer
    x = 364,537.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.