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Finding the Third Proportional to 235,469 and 352,278

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Solution

The third proportional to 235,469 and 352,278 is: 527,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,469 : 352,278 = 352,278 : x
  2. Step 2: Convert to fraction form
    235,469/352,278 = 352,278/x
  3. Step 3: Cross multiply
    235,469x = 352,278 × 352,278
  4. Step 4: Simplify right side
    235,469x = 124,099,789,284
  5. Step 5: Solve for x
    x = 124,099,789,284/235,469
  6. Step 6: Final answer
    x = 527,032.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.