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Finding the Third Proportional to 159,285 and 240,966

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Solution

The third proportional to 159,285 and 240,966 is: 364,532.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,285 : 240,966 = 240,966 : x
  2. Step 2: Convert to fraction form
    159,285/240,966 = 240,966/x
  3. Step 3: Cross multiply
    159,285x = 240,966 × 240,966
  4. Step 4: Simplify right side
    159,285x = 58,064,613,156
  5. Step 5: Solve for x
    x = 58,064,613,156/159,285
  6. Step 6: Final answer
    x = 364,532.84

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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.