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Finding the Third Proportional to 146,296 and 218,484

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Solution

The third proportional to 146,296 and 218,484 is: 326,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,296 : 218,484 = 218,484 : x
  2. Step 2: Convert to fraction form
    146,296/218,484 = 218,484/x
  3. Step 3: Cross multiply
    146,296x = 218,484 × 218,484
  4. Step 4: Simplify right side
    146,296x = 47,735,258,256
  5. Step 5: Solve for x
    x = 47,735,258,256/146,296
  6. Step 6: Final answer
    x = 326,292.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.