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Finding the Third Proportional to 145,962 and 219,987

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Solution

The third proportional to 145,962 and 219,987 is: 331,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,962 : 219,987 = 219,987 : x
  2. Step 2: Convert to fraction form
    145,962/219,987 = 219,987/x
  3. Step 3: Cross multiply
    145,962x = 219,987 × 219,987
  4. Step 4: Simplify right side
    145,962x = 48,394,280,169
  5. Step 5: Solve for x
    x = 48,394,280,169/145,962
  6. Step 6: Final answer
    x = 331,553.97

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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.