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Finding the Third Proportional to 237,896.25 and 523,108.50

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Solution

The third proportional to 237,896.25 and 523,108.50 is: 1,150,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,896.25 : 523,108.50 = 523,108.50 : x
  2. Step 2: Convert to fraction form
    237,896.25/523,108.50 = 523,108.50/x
  3. Step 3: Cross multiply
    237,896.25x = 523,108.50 × 523,108.50
  4. Step 4: Simplify right side
    237,896.25x = 273,642,502,772.25
  5. Step 5: Solve for x
    x = 273,642,502,772.25/237,896.25
  6. Step 6: Final answer
    x = 1,150,259.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.