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Finding the Third Proportional to 152,270 and 327,870

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Solution

The third proportional to 152,270 and 327,870 is: 705,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,270 : 327,870 = 327,870 : x
  2. Step 2: Convert to fraction form
    152,270/327,870 = 327,870/x
  3. Step 3: Cross multiply
    152,270x = 327,870 × 327,870
  4. Step 4: Simplify right side
    152,270x = 107,498,736,900
  5. Step 5: Solve for x
    x = 107,498,736,900/152,270
  6. Step 6: Final answer
    x = 705,974.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.