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Finding the Third Proportional to 222,800.34 and 463,960.69

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Solution

The third proportional to 222,800.34 and 463,960.69 is: 966,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,800.34 : 463,960.69 = 463,960.69 : x
  2. Step 2: Convert to fraction form
    222,800.34/463,960.69 = 463,960.69/x
  3. Step 3: Cross multiply
    222,800.34x = 463,960.69 × 463,960.69
  4. Step 4: Simplify right side
    222,800.34x = 215,259,519,545.47
  5. Step 5: Solve for x
    x = 215,259,519,545.47/222,800.34
  6. Step 6: Final answer
    x = 966,154.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.