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Finding the Third Proportional to 193,924 and 300,102

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Solution

The third proportional to 193,924 and 300,102 is: 464,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,924 : 300,102 = 300,102 : x
  2. Step 2: Convert to fraction form
    193,924/300,102 = 300,102/x
  3. Step 3: Cross multiply
    193,924x = 300,102 × 300,102
  4. Step 4: Simplify right side
    193,924x = 90,061,210,404
  5. Step 5: Solve for x
    x = 90,061,210,404/193,924
  6. Step 6: Final answer
    x = 464,414.98

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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.