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Finding the Third Proportional to 222,037 and 338,583

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Solution

The third proportional to 222,037 and 338,583 is: 516,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,037 : 338,583 = 338,583 : x
  2. Step 2: Convert to fraction form
    222,037/338,583 = 338,583/x
  3. Step 3: Cross multiply
    222,037x = 338,583 × 338,583
  4. Step 4: Simplify right side
    222,037x = 114,638,447,889
  5. Step 5: Solve for x
    x = 114,638,447,889/222,037
  6. Step 6: Final answer
    x = 516,303.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.