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Finding the Third Proportional to 193,176 and 298,476

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Solution

The third proportional to 193,176 and 298,476 is: 461,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,176 : 298,476 = 298,476 : x
  2. Step 2: Convert to fraction form
    193,176/298,476 = 298,476/x
  3. Step 3: Cross multiply
    193,176x = 298,476 × 298,476
  4. Step 4: Simplify right side
    193,176x = 89,087,922,576
  5. Step 5: Solve for x
    x = 89,087,922,576/193,176
  6. Step 6: Final answer
    x = 461,174.90

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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.