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Finding the Third Proportional to 222,309 and 344,748

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Solution

The third proportional to 222,309 and 344,748 is: 534,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,309 : 344,748 = 344,748 : x
  2. Step 2: Convert to fraction form
    222,309/344,748 = 344,748/x
  3. Step 3: Cross multiply
    222,309x = 344,748 × 344,748
  4. Step 4: Simplify right side
    222,309x = 118,851,183,504
  5. Step 5: Solve for x
    x = 118,851,183,504/222,309
  6. Step 6: Final answer
    x = 534,621.56

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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.