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Finding the Third Proportional to 145,077 and 303,276

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Solution

The third proportional to 145,077 and 303,276 is: 633,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,077 : 303,276 = 303,276 : x
  2. Step 2: Convert to fraction form
    145,077/303,276 = 303,276/x
  3. Step 3: Cross multiply
    145,077x = 303,276 × 303,276
  4. Step 4: Simplify right side
    145,077x = 91,976,332,176
  5. Step 5: Solve for x
    x = 91,976,332,176/145,077
  6. Step 6: Final answer
    x = 633,982.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.