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Finding the Third Proportional to 185,220 and 266,166

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Solution

The third proportional to 185,220 and 266,166 is: 382,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,220 : 266,166 = 266,166 : x
  2. Step 2: Convert to fraction form
    185,220/266,166 = 266,166/x
  3. Step 3: Cross multiply
    185,220x = 266,166 × 266,166
  4. Step 4: Simplify right side
    185,220x = 70,844,339,556
  5. Step 5: Solve for x
    x = 70,844,339,556/185,220
  6. Step 6: Final answer
    x = 382,487.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.