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Finding the Third Proportional to 166,177 and 362,428

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Solution

The third proportional to 166,177 and 362,428 is: 790,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,177 : 362,428 = 362,428 : x
  2. Step 2: Convert to fraction form
    166,177/362,428 = 362,428/x
  3. Step 3: Cross multiply
    166,177x = 362,428 × 362,428
  4. Step 4: Simplify right side
    166,177x = 131,354,055,184
  5. Step 5: Solve for x
    x = 131,354,055,184/166,177
  6. Step 6: Final answer
    x = 790,446.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.