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Finding the Third Proportional to 235,214 and 353,351

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Solution

The third proportional to 235,214 and 353,351 is: 530,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,214 : 353,351 = 353,351 : x
  2. Step 2: Convert to fraction form
    235,214/353,351 = 353,351/x
  3. Step 3: Cross multiply
    235,214x = 353,351 × 353,351
  4. Step 4: Simplify right side
    235,214x = 124,856,929,201
  5. Step 5: Solve for x
    x = 124,856,929,201/235,214
  6. Step 6: Final answer
    x = 530,822.69

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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.