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Finding the Third Proportional to 147,000 and 219,927

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Solution

The third proportional to 147,000 and 219,927 is: 329,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,000 : 219,927 = 219,927 : x
  2. Step 2: Convert to fraction form
    147,000/219,927 = 219,927/x
  3. Step 3: Cross multiply
    147,000x = 219,927 × 219,927
  4. Step 4: Simplify right side
    147,000x = 48,367,885,329
  5. Step 5: Solve for x
    x = 48,367,885,329/147,000
  6. Step 6: Final answer
    x = 329,033.23

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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.