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Finding the Third Proportional to 133,305.75 and 285,373.13

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Solution

The third proportional to 133,305.75 and 285,373.13 is: 610,910.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,305.75 : 285,373.13 = 285,373.13 : x
  2. Step 2: Convert to fraction form
    133,305.75/285,373.13 = 285,373.13/x
  3. Step 3: Cross multiply
    133,305.75x = 285,373.13 × 285,373.13
  4. Step 4: Simplify right side
    133,305.75x = 81,437,820,472.27
  5. Step 5: Solve for x
    x = 81,437,820,472.27/133,305.75
  6. Step 6: Final answer
    x = 610,910.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.