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Finding the Third Proportional to 222,515 and 344,331

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Solution

The third proportional to 222,515 and 344,331 is: 532,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,515 : 344,331 = 344,331 : x
  2. Step 2: Convert to fraction form
    222,515/344,331 = 344,331/x
  3. Step 3: Cross multiply
    222,515x = 344,331 × 344,331
  4. Step 4: Simplify right side
    222,515x = 118,563,837,561
  5. Step 5: Solve for x
    x = 118,563,837,561/222,515
  6. Step 6: Final answer
    x = 532,835.26

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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.