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Finding the Third Proportional to 144,692 and 211,384

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Solution

The third proportional to 144,692 and 211,384 is: 308,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,692 : 211,384 = 211,384 : x
  2. Step 2: Convert to fraction form
    144,692/211,384 = 211,384/x
  3. Step 3: Cross multiply
    144,692x = 211,384 × 211,384
  4. Step 4: Simplify right side
    144,692x = 44,683,195,456
  5. Step 5: Solve for x
    x = 44,683,195,456/144,692
  6. Step 6: Final answer
    x = 308,815.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.