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Finding the Third Proportional to 166,135 and 354,018

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Solution

The third proportional to 166,135 and 354,018 is: 754,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,135 : 354,018 = 354,018 : x
  2. Step 2: Convert to fraction form
    166,135/354,018 = 354,018/x
  3. Step 3: Cross multiply
    166,135x = 354,018 × 354,018
  4. Step 4: Simplify right side
    166,135x = 125,328,744,324
  5. Step 5: Solve for x
    x = 125,328,744,324/166,135
  6. Step 6: Final answer
    x = 754,378.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.