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Finding the Third Proportional to 133,192.50 and 283,336.50

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Solution

The third proportional to 133,192.50 and 283,336.50 is: 602,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,192.50 : 283,336.50 = 283,336.50 : x
  2. Step 2: Convert to fraction form
    133,192.50/283,336.50 = 283,336.50/x
  3. Step 3: Cross multiply
    133,192.50x = 283,336.50 × 283,336.50
  4. Step 4: Simplify right side
    133,192.50x = 80,279,572,232.25
  5. Step 5: Solve for x
    x = 80,279,572,232.25/133,192.50
  6. Step 6: Final answer
    x = 602,733.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.