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Finding the Third Proportional to 156,469.50 and 337,880.25

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Solution

The third proportional to 156,469.50 and 337,880.25 is: 729,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,469.50 : 337,880.25 = 337,880.25 : x
  2. Step 2: Convert to fraction form
    156,469.50/337,880.25 = 337,880.25/x
  3. Step 3: Cross multiply
    156,469.50x = 337,880.25 × 337,880.25
  4. Step 4: Simplify right side
    156,469.50x = 114,163,063,340.06
  5. Step 5: Solve for x
    x = 114,163,063,340.06/156,469.50
  6. Step 6: Final answer
    x = 729,618.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.