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Finding the Third Proportional to 143,916.75 and 225,752.06

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Solution

The third proportional to 143,916.75 and 225,752.06 is: 354,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,916.75 : 225,752.06 = 225,752.06 : x
  2. Step 2: Convert to fraction form
    143,916.75/225,752.06 = 225,752.06/x
  3. Step 3: Cross multiply
    143,916.75x = 225,752.06 × 225,752.06
  4. Step 4: Simplify right side
    143,916.75x = 50,963,993,723.00
  5. Step 5: Solve for x
    x = 50,963,993,723.00/143,916.75
  6. Step 6: Final answer
    x = 354,121.35

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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.