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Finding the Third Proportional to 193,659.75 and 299,117.25

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Solution

The third proportional to 193,659.75 and 299,117.25 is: 462,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,659.75 : 299,117.25 = 299,117.25 : x
  2. Step 2: Convert to fraction form
    193,659.75/299,117.25 = 299,117.25/x
  3. Step 3: Cross multiply
    193,659.75x = 299,117.25 × 299,117.25
  4. Step 4: Simplify right side
    193,659.75x = 89,471,129,247.56
  5. Step 5: Solve for x
    x = 89,471,129,247.56/193,659.75
  6. Step 6: Final answer
    x = 462,001.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.