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Finding the Third Proportional to 150,566 and 322,864

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Solution

The third proportional to 150,566 and 322,864 is: 692,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,566 : 322,864 = 322,864 : x
  2. Step 2: Convert to fraction form
    150,566/322,864 = 322,864/x
  3. Step 3: Cross multiply
    150,566x = 322,864 × 322,864
  4. Step 4: Simplify right side
    150,566x = 104,241,162,496
  5. Step 5: Solve for x
    x = 104,241,162,496/150,566
  6. Step 6: Final answer
    x = 692,328.70

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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.