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Finding the Third Proportional to 130,846 and 201,400

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Solution

The third proportional to 130,846 and 201,400 is: 309,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,846 : 201,400 = 201,400 : x
  2. Step 2: Convert to fraction form
    130,846/201,400 = 201,400/x
  3. Step 3: Cross multiply
    130,846x = 201,400 × 201,400
  4. Step 4: Simplify right side
    130,846x = 40,561,960,000
  5. Step 5: Solve for x
    x = 40,561,960,000/130,846
  6. Step 6: Final answer
    x = 309,997.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.