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Finding the Third Proportional to 146,626 and 326,948

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Solution

The third proportional to 146,626 and 326,948 is: 729,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,626 : 326,948 = 326,948 : x
  2. Step 2: Convert to fraction form
    146,626/326,948 = 326,948/x
  3. Step 3: Cross multiply
    146,626x = 326,948 × 326,948
  4. Step 4: Simplify right side
    146,626x = 106,894,994,704
  5. Step 5: Solve for x
    x = 106,894,994,704/146,626
  6. Step 6: Final answer
    x = 729,031.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.