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Finding the Third Proportional to 210,166 and 466,982

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Solution

The third proportional to 210,166 and 466,982 is: 1,037,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,166 : 466,982 = 466,982 : x
  2. Step 2: Convert to fraction form
    210,166/466,982 = 466,982/x
  3. Step 3: Cross multiply
    210,166x = 466,982 × 466,982
  4. Step 4: Simplify right side
    210,166x = 218,072,188,324
  5. Step 5: Solve for x
    x = 218,072,188,324/210,166
  6. Step 6: Final answer
    x = 1,037,618.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.