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Finding the Third Proportional to 143,963 and 225,812.50

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Solution

The third proportional to 143,963 and 225,812.50 is: 354,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,963 : 225,812.50 = 225,812.50 : x
  2. Step 2: Convert to fraction form
    143,963/225,812.50 = 225,812.50/x
  3. Step 3: Cross multiply
    143,963x = 225,812.50 × 225,812.50
  4. Step 4: Simplify right side
    143,963x = 50,991,285,156.25
  5. Step 5: Solve for x
    x = 50,991,285,156.25/143,963
  6. Step 6: Final answer
    x = 354,197.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.