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Finding the Third Proportional to 166,958 and 341,596

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Solution

The third proportional to 166,958 and 341,596 is: 698,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,958 : 341,596 = 341,596 : x
  2. Step 2: Convert to fraction form
    166,958/341,596 = 341,596/x
  3. Step 3: Cross multiply
    166,958x = 341,596 × 341,596
  4. Step 4: Simplify right side
    166,958x = 116,687,827,216
  5. Step 5: Solve for x
    x = 116,687,827,216/166,958
  6. Step 6: Final answer
    x = 698,905.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.