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Finding the Third Proportional to 114,832 and 168,476

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Solution

The third proportional to 114,832 and 168,476 is: 247,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,832 : 168,476 = 168,476 : x
  2. Step 2: Convert to fraction form
    114,832/168,476 = 168,476/x
  3. Step 3: Cross multiply
    114,832x = 168,476 × 168,476
  4. Step 4: Simplify right side
    114,832x = 28,384,162,576
  5. Step 5: Solve for x
    x = 28,384,162,576/114,832
  6. Step 6: Final answer
    x = 247,179.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.