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Finding the Third Proportional to 144,967 and 219,455

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Solution

The third proportional to 144,967 and 219,455 is: 332,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,967 : 219,455 = 219,455 : x
  2. Step 2: Convert to fraction form
    144,967/219,455 = 219,455/x
  3. Step 3: Cross multiply
    144,967x = 219,455 × 219,455
  4. Step 4: Simplify right side
    144,967x = 48,160,497,025
  5. Step 5: Solve for x
    x = 48,160,497,025/144,967
  6. Step 6: Final answer
    x = 332,216.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.