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Finding the Third Proportional to 159,533 and 327,262

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Solution

The third proportional to 159,533 and 327,262 is: 671,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,533 : 327,262 = 327,262 : x
  2. Step 2: Convert to fraction form
    159,533/327,262 = 327,262/x
  3. Step 3: Cross multiply
    159,533x = 327,262 × 327,262
  4. Step 4: Simplify right side
    159,533x = 107,100,416,644
  5. Step 5: Solve for x
    x = 107,100,416,644/159,533
  6. Step 6: Final answer
    x = 671,337.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.