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Finding the Third Proportional to 193,524 and 299,040

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Solution

The third proportional to 193,524 and 299,040 is: 462,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,524 : 299,040 = 299,040 : x
  2. Step 2: Convert to fraction form
    193,524/299,040 = 299,040/x
  3. Step 3: Cross multiply
    193,524x = 299,040 × 299,040
  4. Step 4: Simplify right side
    193,524x = 89,424,921,600
  5. Step 5: Solve for x
    x = 89,424,921,600/193,524
  6. Step 6: Final answer
    x = 462,086.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.