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Finding the Third Proportional to 151,785.75 and 222,756.75

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Solution

The third proportional to 151,785.75 and 222,756.75 is: 326,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,785.75 : 222,756.75 = 222,756.75 : x
  2. Step 2: Convert to fraction form
    151,785.75/222,756.75 = 222,756.75/x
  3. Step 3: Cross multiply
    151,785.75x = 222,756.75 × 222,756.75
  4. Step 4: Simplify right side
    151,785.75x = 49,620,569,670.56
  5. Step 5: Solve for x
    x = 49,620,569,670.56/151,785.75
  6. Step 6: Final answer
    x = 326,911.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.