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Finding the Third Proportional to 151,529 and 227,294

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Solution

The third proportional to 151,529 and 227,294 is: 340,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,529 : 227,294 = 227,294 : x
  2. Step 2: Convert to fraction form
    151,529/227,294 = 227,294/x
  3. Step 3: Cross multiply
    151,529x = 227,294 × 227,294
  4. Step 4: Simplify right side
    151,529x = 51,662,562,436
  5. Step 5: Solve for x
    x = 51,662,562,436/151,529
  6. Step 6: Final answer
    x = 340,941.75

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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.