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Finding the Third Proportional to 104,733 and 221,598

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Solution

The third proportional to 104,733 and 221,598 is: 468,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,733 : 221,598 = 221,598 : x
  2. Step 2: Convert to fraction form
    104,733/221,598 = 221,598/x
  3. Step 3: Cross multiply
    104,733x = 221,598 × 221,598
  4. Step 4: Simplify right side
    104,733x = 49,105,673,604
  5. Step 5: Solve for x
    x = 49,105,673,604/104,733
  6. Step 6: Final answer
    x = 468,865.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.