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Finding the Third Proportional to 166,240 and 367,480

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Solution

The third proportional to 166,240 and 367,480 is: 812,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,240 : 367,480 = 367,480 : x
  2. Step 2: Convert to fraction form
    166,240/367,480 = 367,480/x
  3. Step 3: Cross multiply
    166,240x = 367,480 × 367,480
  4. Step 4: Simplify right side
    166,240x = 135,041,550,400
  5. Step 5: Solve for x
    x = 135,041,550,400/166,240
  6. Step 6: Final answer
    x = 812,328.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.