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Finding the Third Proportional to 222,798 and 347,865

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Solution

The third proportional to 222,798 and 347,865 is: 543,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,798 : 347,865 = 347,865 : x
  2. Step 2: Convert to fraction form
    222,798/347,865 = 347,865/x
  3. Step 3: Cross multiply
    222,798x = 347,865 × 347,865
  4. Step 4: Simplify right side
    222,798x = 121,010,058,225
  5. Step 5: Solve for x
    x = 121,010,058,225/222,798
  6. Step 6: Final answer
    x = 543,137.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.