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Finding the Third Proportional to 222,138 and 469,062

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Solution

The third proportional to 222,138 and 469,062 is: 990,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,138 : 469,062 = 469,062 : x
  2. Step 2: Convert to fraction form
    222,138/469,062 = 469,062/x
  3. Step 3: Cross multiply
    222,138x = 469,062 × 469,062
  4. Step 4: Simplify right side
    222,138x = 220,019,159,844
  5. Step 5: Solve for x
    x = 220,019,159,844/222,138
  6. Step 6: Final answer
    x = 990,461.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.