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Finding the Third Proportional to 128,121.75 and 280,374.47

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Solution

The third proportional to 128,121.75 and 280,374.47 is: 613,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,121.75 : 280,374.47 = 280,374.47 : x
  2. Step 2: Convert to fraction form
    128,121.75/280,374.47 = 280,374.47/x
  3. Step 3: Cross multiply
    128,121.75x = 280,374.47 × 280,374.47
  4. Step 4: Simplify right side
    128,121.75x = 78,609,842,726.84
  5. Step 5: Solve for x
    x = 78,609,842,726.84/128,121.75
  6. Step 6: Final answer
    x = 613,555.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.