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Finding the Third Proportional to 149,258 and 326,866

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Solution

The third proportional to 149,258 and 326,866 is: 715,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,258 : 326,866 = 326,866 : x
  2. Step 2: Convert to fraction form
    149,258/326,866 = 326,866/x
  3. Step 3: Cross multiply
    149,258x = 326,866 × 326,866
  4. Step 4: Simplify right side
    149,258x = 106,841,381,956
  5. Step 5: Solve for x
    x = 106,841,381,956/149,258
  6. Step 6: Final answer
    x = 715,816.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.