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Finding the Third Proportional to 166,722 and 357,258

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Solution

The third proportional to 166,722 and 357,258 is: 765,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,722 : 357,258 = 357,258 : x
  2. Step 2: Convert to fraction form
    166,722/357,258 = 357,258/x
  3. Step 3: Cross multiply
    166,722x = 357,258 × 357,258
  4. Step 4: Simplify right side
    166,722x = 127,633,278,564
  5. Step 5: Solve for x
    x = 127,633,278,564/166,722
  6. Step 6: Final answer
    x = 765,545.51

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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.