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Finding the Third Proportional to 193,410 and 300,105

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Solution

The third proportional to 193,410 and 300,105 is: 465,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,410 : 300,105 = 300,105 : x
  2. Step 2: Convert to fraction form
    193,410/300,105 = 300,105/x
  3. Step 3: Cross multiply
    193,410x = 300,105 × 300,105
  4. Step 4: Simplify right side
    193,410x = 90,063,011,025
  5. Step 5: Solve for x
    x = 90,063,011,025/193,410
  6. Step 6: Final answer
    x = 465,658.50

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