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Finding the Third Proportional to 152,218 and 328,568

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Solution

The third proportional to 152,218 and 328,568 is: 709,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,218 : 328,568 = 328,568 : x
  2. Step 2: Convert to fraction form
    152,218/328,568 = 328,568/x
  3. Step 3: Cross multiply
    152,218x = 328,568 × 328,568
  4. Step 4: Simplify right side
    152,218x = 107,956,930,624
  5. Step 5: Solve for x
    x = 107,956,930,624/152,218
  6. Step 6: Final answer
    x = 709,225.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.