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Finding the Third Proportional to 106,933.50 and 234,279

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Solution

The third proportional to 106,933.50 and 234,279 is: 513,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,933.50 : 234,279 = 234,279 : x
  2. Step 2: Convert to fraction form
    106,933.50/234,279 = 234,279/x
  3. Step 3: Cross multiply
    106,933.50x = 234,279 × 234,279
  4. Step 4: Simplify right side
    106,933.50x = 54,886,649,841
  5. Step 5: Solve for x
    x = 54,886,649,841/106,933.50
  6. Step 6: Final answer
    x = 513,278.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.