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Finding the Third Proportional to 151,100.75 and 205,332.13

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Solution

The third proportional to 151,100.75 and 205,332.13 is: 279,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,100.75 : 205,332.13 = 205,332.13 : x
  2. Step 2: Convert to fraction form
    151,100.75/205,332.13 = 205,332.13/x
  3. Step 3: Cross multiply
    151,100.75x = 205,332.13 × 205,332.13
  4. Step 4: Simplify right side
    151,100.75x = 42,161,281,557.02
  5. Step 5: Solve for x
    x = 42,161,281,557.02/151,100.75
  6. Step 6: Final answer
    x = 279,027.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.