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Finding the Third Proportional to 227,364 and 339,640

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Solution

The third proportional to 227,364 and 339,640 is: 507,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,364 : 339,640 = 339,640 : x
  2. Step 2: Convert to fraction form
    227,364/339,640 = 339,640/x
  3. Step 3: Cross multiply
    227,364x = 339,640 × 339,640
  4. Step 4: Simplify right side
    227,364x = 115,355,329,600
  5. Step 5: Solve for x
    x = 115,355,329,600/227,364
  6. Step 6: Final answer
    x = 507,359.69

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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.