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Finding the Third Proportional to 144,616.50 and 313,563.25

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Solution

The third proportional to 144,616.50 and 313,563.25 is: 679,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,616.50 : 313,563.25 = 313,563.25 : x
  2. Step 2: Convert to fraction form
    144,616.50/313,563.25 = 313,563.25/x
  3. Step 3: Cross multiply
    144,616.50x = 313,563.25 × 313,563.25
  4. Step 4: Simplify right side
    144,616.50x = 98,321,911,750.56
  5. Step 5: Solve for x
    x = 98,321,911,750.56/144,616.50
  6. Step 6: Final answer
    x = 679,880.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.