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Finding the Third Proportional to 225,038 and 339,285

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Solution

The third proportional to 225,038 and 339,285 is: 511,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,038 : 339,285 = 339,285 : x
  2. Step 2: Convert to fraction form
    225,038/339,285 = 339,285/x
  3. Step 3: Cross multiply
    225,038x = 339,285 × 339,285
  4. Step 4: Simplify right side
    225,038x = 115,114,311,225
  5. Step 5: Solve for x
    x = 115,114,311,225/225,038
  6. Step 6: Final answer
    x = 511,532.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.