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Finding the Third Proportional to 144,766 and 219,610

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Solution

The third proportional to 144,766 and 219,610 is: 333,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,766 : 219,610 = 219,610 : x
  2. Step 2: Convert to fraction form
    144,766/219,610 = 219,610/x
  3. Step 3: Cross multiply
    144,766x = 219,610 × 219,610
  4. Step 4: Simplify right side
    144,766x = 48,228,552,100
  5. Step 5: Solve for x
    x = 48,228,552,100/144,766
  6. Step 6: Final answer
    x = 333,148.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.