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Finding the Third Proportional to 210,166 and 451,436

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Solution

The third proportional to 210,166 and 451,436 is: 969,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,166 : 451,436 = 451,436 : x
  2. Step 2: Convert to fraction form
    210,166/451,436 = 451,436/x
  3. Step 3: Cross multiply
    210,166x = 451,436 × 451,436
  4. Step 4: Simplify right side
    210,166x = 203,794,462,096
  5. Step 5: Solve for x
    x = 203,794,462,096/210,166
  6. Step 6: Final answer
    x = 969,683.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.