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Finding the Third Proportional to 150,560 and 327,370

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Solution

The third proportional to 150,560 and 327,370 is: 711,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,560 : 327,370 = 327,370 : x
  2. Step 2: Convert to fraction form
    150,560/327,370 = 327,370/x
  3. Step 3: Cross multiply
    150,560x = 327,370 × 327,370
  4. Step 4: Simplify right side
    150,560x = 107,171,116,900
  5. Step 5: Solve for x
    x = 107,171,116,900/150,560
  6. Step 6: Final answer
    x = 711,816.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.