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Finding the Third Proportional to 166,220 and 356,254

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Solution

The third proportional to 166,220 and 356,254 is: 763,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,220 : 356,254 = 356,254 : x
  2. Step 2: Convert to fraction form
    166,220/356,254 = 356,254/x
  3. Step 3: Cross multiply
    166,220x = 356,254 × 356,254
  4. Step 4: Simplify right side
    166,220x = 126,916,912,516
  5. Step 5: Solve for x
    x = 126,916,912,516/166,220
  6. Step 6: Final answer
    x = 763,547.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.