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Finding the Third Proportional to 146,994 and 219,916

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Solution

The third proportional to 146,994 and 219,916 is: 329,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,994 : 219,916 = 219,916 : x
  2. Step 2: Convert to fraction form
    146,994/219,916 = 219,916/x
  3. Step 3: Cross multiply
    146,994x = 219,916 × 219,916
  4. Step 4: Simplify right side
    146,994x = 48,363,047,056
  5. Step 5: Solve for x
    x = 48,363,047,056/146,994
  6. Step 6: Final answer
    x = 329,013.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.