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Finding the Third Proportional to 146,880 and 219,762

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Solution

The third proportional to 146,880 and 219,762 is: 328,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,880 : 219,762 = 219,762 : x
  2. Step 2: Convert to fraction form
    146,880/219,762 = 219,762/x
  3. Step 3: Cross multiply
    146,880x = 219,762 × 219,762
  4. Step 4: Simplify right side
    146,880x = 48,295,336,644
  5. Step 5: Solve for x
    x = 48,295,336,644/146,880
  6. Step 6: Final answer
    x = 328,808.12

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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.