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Finding the Third Proportional to 151,713.42 and 218,533.57

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Solution

The third proportional to 151,713.42 and 218,533.57 is: 314,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,713.42 : 218,533.57 = 218,533.57 : x
  2. Step 2: Convert to fraction form
    151,713.42/218,533.57 = 218,533.57/x
  3. Step 3: Cross multiply
    151,713.42x = 218,533.57 × 218,533.57
  4. Step 4: Simplify right side
    151,713.42x = 47,756,921,353.53
  5. Step 5: Solve for x
    x = 47,756,921,353.53/151,713.42
  6. Step 6: Final answer
    x = 314,783.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.