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Finding the Third Proportional to 152,721 and 327,330

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Solution

The third proportional to 152,721 and 327,330 is: 701,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,721 : 327,330 = 327,330 : x
  2. Step 2: Convert to fraction form
    152,721/327,330 = 327,330/x
  3. Step 3: Cross multiply
    152,721x = 327,330 × 327,330
  4. Step 4: Simplify right side
    152,721x = 107,144,928,900
  5. Step 5: Solve for x
    x = 107,144,928,900/152,721
  6. Step 6: Final answer
    x = 701,572.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.