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Finding the Third Proportional to 130,167 and 201,149

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Solution

The third proportional to 130,167 and 201,149 is: 310,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,167 : 201,149 = 201,149 : x
  2. Step 2: Convert to fraction form
    130,167/201,149 = 201,149/x
  3. Step 3: Cross multiply
    130,167x = 201,149 × 201,149
  4. Step 4: Simplify right side
    130,167x = 40,460,920,201
  5. Step 5: Solve for x
    x = 40,460,920,201/130,167
  6. Step 6: Final answer
    x = 310,838.54

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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.