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Finding the Third Proportional to 151,308 and 227,615

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Solution

The third proportional to 151,308 and 227,615 is: 342,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,308 : 227,615 = 227,615 : x
  2. Step 2: Convert to fraction form
    151,308/227,615 = 227,615/x
  3. Step 3: Cross multiply
    151,308x = 227,615 × 227,615
  4. Step 4: Simplify right side
    151,308x = 51,808,588,225
  5. Step 5: Solve for x
    x = 51,808,588,225/151,308
  6. Step 6: Final answer
    x = 342,404.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.