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Finding the Third Proportional to 133,996.50 and 283,545

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Solution

The third proportional to 133,996.50 and 283,545 is: 599,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,996.50 : 283,545 = 283,545 : x
  2. Step 2: Convert to fraction form
    133,996.50/283,545 = 283,545/x
  3. Step 3: Cross multiply
    133,996.50x = 283,545 × 283,545
  4. Step 4: Simplify right side
    133,996.50x = 80,397,767,025
  5. Step 5: Solve for x
    x = 80,397,767,025/133,996.50
  6. Step 6: Final answer
    x = 599,999.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.