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Finding the Third Proportional to 222,179 and 344,124

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Solution

The third proportional to 222,179 and 344,124 is: 532,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,179 : 344,124 = 344,124 : x
  2. Step 2: Convert to fraction form
    222,179/344,124 = 344,124/x
  3. Step 3: Cross multiply
    222,179x = 344,124 × 344,124
  4. Step 4: Simplify right side
    222,179x = 118,421,327,376
  5. Step 5: Solve for x
    x = 118,421,327,376/222,179
  6. Step 6: Final answer
    x = 532,999.64

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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.