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Finding the Third Proportional to 144,982 and 219,068

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Solution

The third proportional to 144,982 and 219,068 is: 331,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,982 : 219,068 = 219,068 : x
  2. Step 2: Convert to fraction form
    144,982/219,068 = 219,068/x
  3. Step 3: Cross multiply
    144,982x = 219,068 × 219,068
  4. Step 4: Simplify right side
    144,982x = 47,990,788,624
  5. Step 5: Solve for x
    x = 47,990,788,624/144,982
  6. Step 6: Final answer
    x = 331,012.05

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