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Finding the Third Proportional to 147,800 and 325,126

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Solution

The third proportional to 147,800 and 325,126 is: 715,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,800 : 325,126 = 325,126 : x
  2. Step 2: Convert to fraction form
    147,800/325,126 = 325,126/x
  3. Step 3: Cross multiply
    147,800x = 325,126 × 325,126
  4. Step 4: Simplify right side
    147,800x = 105,706,915,876
  5. Step 5: Solve for x
    x = 105,706,915,876/147,800
  6. Step 6: Final answer
    x = 715,202.41

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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.