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Finding the Third Proportional to 122,203.69 and 256,089.09

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Solution

The third proportional to 122,203.69 and 256,089.09 is: 536,658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,203.69 : 256,089.09 = 256,089.09 : x
  2. Step 2: Convert to fraction form
    122,203.69/256,089.09 = 256,089.09/x
  3. Step 3: Cross multiply
    122,203.69x = 256,089.09 × 256,089.09
  4. Step 4: Simplify right side
    122,203.69x = 65,581,623,937.70
  5. Step 5: Solve for x
    x = 65,581,623,937.70/122,203.69
  6. Step 6: Final answer
    x = 536,658.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.