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Finding the Third Proportional to 222,984 and 345,516

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Solution

The third proportional to 222,984 and 345,516 is: 535,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,984 : 345,516 = 345,516 : x
  2. Step 2: Convert to fraction form
    222,984/345,516 = 345,516/x
  3. Step 3: Cross multiply
    222,984x = 345,516 × 345,516
  4. Step 4: Simplify right side
    222,984x = 119,381,306,256
  5. Step 5: Solve for x
    x = 119,381,306,256/222,984
  6. Step 6: Final answer
    x = 535,380.59

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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.