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Finding the Third Proportional to 214,908 and 233,338

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Solution

The third proportional to 214,908 and 233,338 is: 253,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,908 : 233,338 = 233,338 : x
  2. Step 2: Convert to fraction form
    214,908/233,338 = 233,338/x
  3. Step 3: Cross multiply
    214,908x = 233,338 × 233,338
  4. Step 4: Simplify right side
    214,908x = 54,446,622,244
  5. Step 5: Solve for x
    x = 54,446,622,244/214,908
  6. Step 6: Final answer
    x = 253,348.51

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.