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Finding the Third Proportional to 235,639.50 and 352,689

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Solution

The third proportional to 235,639.50 and 352,689 is: 527,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,639.50 : 352,689 = 352,689 : x
  2. Step 2: Convert to fraction form
    235,639.50/352,689 = 352,689/x
  3. Step 3: Cross multiply
    235,639.50x = 352,689 × 352,689
  4. Step 4: Simplify right side
    235,639.50x = 124,389,530,721
  5. Step 5: Solve for x
    x = 124,389,530,721/235,639.50
  6. Step 6: Final answer
    x = 527,880.64

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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.