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Finding the Third Proportional to 103,387 and 227,164

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Solution

The third proportional to 103,387 and 227,164 is: 499,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,387 : 227,164 = 227,164 : x
  2. Step 2: Convert to fraction form
    103,387/227,164 = 227,164/x
  3. Step 3: Cross multiply
    103,387x = 227,164 × 227,164
  4. Step 4: Simplify right side
    103,387x = 51,603,482,896
  5. Step 5: Solve for x
    x = 51,603,482,896/103,387
  6. Step 6: Final answer
    x = 499,129.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.