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Finding the Third Proportional to 145,766 and 219,099

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Solution

The third proportional to 145,766 and 219,099 is: 329,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,766 : 219,099 = 219,099 : x
  2. Step 2: Convert to fraction form
    145,766/219,099 = 219,099/x
  3. Step 3: Cross multiply
    145,766x = 219,099 × 219,099
  4. Step 4: Simplify right side
    145,766x = 48,004,371,801
  5. Step 5: Solve for x
    x = 48,004,371,801/145,766
  6. Step 6: Final answer
    x = 329,324.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.