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Finding the Third Proportional to 162,296 and 349,558

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Solution

The third proportional to 162,296 and 349,558 is: 752,888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,296 : 349,558 = 349,558 : x
  2. Step 2: Convert to fraction form
    162,296/349,558 = 349,558/x
  3. Step 3: Cross multiply
    162,296x = 349,558 × 349,558
  4. Step 4: Simplify right side
    162,296x = 122,190,795,364
  5. Step 5: Solve for x
    x = 122,190,795,364/162,296
  6. Step 6: Final answer
    x = 752,888.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.