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Finding the Third Proportional to 234,756 and 353,260

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Solution

The third proportional to 234,756 and 353,260 is: 531,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,756 : 353,260 = 353,260 : x
  2. Step 2: Convert to fraction form
    234,756/353,260 = 353,260/x
  3. Step 3: Cross multiply
    234,756x = 353,260 × 353,260
  4. Step 4: Simplify right side
    234,756x = 124,792,627,600
  5. Step 5: Solve for x
    x = 124,792,627,600/234,756
  6. Step 6: Final answer
    x = 531,584.40

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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.