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Finding the Third Proportional to 222,423 and 344,695

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Solution

The third proportional to 222,423 and 344,695 is: 534,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,423 : 344,695 = 344,695 : x
  2. Step 2: Convert to fraction form
    222,423/344,695 = 344,695/x
  3. Step 3: Cross multiply
    222,423x = 344,695 × 344,695
  4. Step 4: Simplify right side
    222,423x = 118,814,643,025
  5. Step 5: Solve for x
    x = 118,814,643,025/222,423
  6. Step 6: Final answer
    x = 534,183.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.