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Finding the Third Proportional to 182,544 and 398,706

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Solution

The third proportional to 182,544 and 398,706 is: 870,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,544 : 398,706 = 398,706 : x
  2. Step 2: Convert to fraction form
    182,544/398,706 = 398,706/x
  3. Step 3: Cross multiply
    182,544x = 398,706 × 398,706
  4. Step 4: Simplify right side
    182,544x = 158,966,474,436
  5. Step 5: Solve for x
    x = 158,966,474,436/182,544
  6. Step 6: Final answer
    x = 870,839.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.