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Finding the Third Proportional to 166,235 and 360,172

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Solution

The third proportional to 166,235 and 360,172 is: 780,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,235 : 360,172 = 360,172 : x
  2. Step 2: Convert to fraction form
    166,235/360,172 = 360,172/x
  3. Step 3: Cross multiply
    166,235x = 360,172 × 360,172
  4. Step 4: Simplify right side
    166,235x = 129,723,869,584
  5. Step 5: Solve for x
    x = 129,723,869,584/166,235
  6. Step 6: Final answer
    x = 780,364.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.