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Finding the Third Proportional to 222,872.06 and 464,212.13

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Solution

The third proportional to 222,872.06 and 464,212.13 is: 966,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,872.06 : 464,212.13 = 464,212.13 : x
  2. Step 2: Convert to fraction form
    222,872.06/464,212.13 = 464,212.13/x
  3. Step 3: Cross multiply
    222,872.06x = 464,212.13 × 464,212.13
  4. Step 4: Simplify right side
    222,872.06x = 215,492,896,997.02
  5. Step 5: Solve for x
    x = 215,492,896,997.02/222,872.06
  6. Step 6: Final answer
    x = 966,890.58

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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.