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Finding the Third Proportional to 237,738.75 and 518,125.50

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Solution

The third proportional to 237,738.75 and 518,125.50 is: 1,129,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,738.75 : 518,125.50 = 518,125.50 : x
  2. Step 2: Convert to fraction form
    237,738.75/518,125.50 = 518,125.50/x
  3. Step 3: Cross multiply
    237,738.75x = 518,125.50 × 518,125.50
  4. Step 4: Simplify right side
    237,738.75x = 268,454,033,750.25
  5. Step 5: Solve for x
    x = 268,454,033,750.25/237,738.75
  6. Step 6: Final answer
    x = 1,129,197.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.