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Finding the Third Proportional to 227,346 and 339,615

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Solution

The third proportional to 227,346 and 339,615 is: 507,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,346 : 339,615 = 339,615 : x
  2. Step 2: Convert to fraction form
    227,346/339,615 = 339,615/x
  3. Step 3: Cross multiply
    227,346x = 339,615 × 339,615
  4. Step 4: Simplify right side
    227,346x = 115,338,348,225
  5. Step 5: Solve for x
    x = 115,338,348,225/227,346
  6. Step 6: Final answer
    x = 507,325.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.