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Finding the Third Proportional to 222,680 and 344,840

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Solution

The third proportional to 222,680 and 344,840 is: 534,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,680 : 344,840 = 344,840 : x
  2. Step 2: Convert to fraction form
    222,680/344,840 = 344,840/x
  3. Step 3: Cross multiply
    222,680x = 344,840 × 344,840
  4. Step 4: Simplify right side
    222,680x = 118,914,625,600
  5. Step 5: Solve for x
    x = 118,914,625,600/222,680
  6. Step 6: Final answer
    x = 534,015.74

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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.