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Finding the Third Proportional to 148,196 and 219,721

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Solution

The third proportional to 148,196 and 219,721 is: 325,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,196 : 219,721 = 219,721 : x
  2. Step 2: Convert to fraction form
    148,196/219,721 = 219,721/x
  3. Step 3: Cross multiply
    148,196x = 219,721 × 219,721
  4. Step 4: Simplify right side
    148,196x = 48,277,317,841
  5. Step 5: Solve for x
    x = 48,277,317,841/148,196
  6. Step 6: Final answer
    x = 325,766.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.