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Finding the Third Proportional to 155,960.50 and 335,216.50

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Solution

The third proportional to 155,960.50 and 335,216.50 is: 720,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,960.50 : 335,216.50 = 335,216.50 : x
  2. Step 2: Convert to fraction form
    155,960.50/335,216.50 = 335,216.50/x
  3. Step 3: Cross multiply
    155,960.50x = 335,216.50 × 335,216.50
  4. Step 4: Simplify right side
    155,960.50x = 112,370,101,872.25
  5. Step 5: Solve for x
    x = 112,370,101,872.25/155,960.50
  6. Step 6: Final answer
    x = 720,503.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.