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Finding the Third Proportional to 166,465 and 366,864

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Solution

The third proportional to 166,465 and 366,864 is: 808,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,465 : 366,864 = 366,864 : x
  2. Step 2: Convert to fraction form
    166,465/366,864 = 366,864/x
  3. Step 3: Cross multiply
    166,465x = 366,864 × 366,864
  4. Step 4: Simplify right side
    166,465x = 134,589,194,496
  5. Step 5: Solve for x
    x = 134,589,194,496/166,465
  6. Step 6: Final answer
    x = 808,513.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.