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Finding the Third Proportional to 219,396 and 320,772

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Solution

The third proportional to 219,396 and 320,772 is: 468,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,396 : 320,772 = 320,772 : x
  2. Step 2: Convert to fraction form
    219,396/320,772 = 320,772/x
  3. Step 3: Cross multiply
    219,396x = 320,772 × 320,772
  4. Step 4: Simplify right side
    219,396x = 102,894,675,984
  5. Step 5: Solve for x
    x = 102,894,675,984/219,396
  6. Step 6: Final answer
    x = 468,990.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.