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Finding the Third Proportional to 147,375 and 300,933

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Solution

The third proportional to 147,375 and 300,933 is: 614,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,375 : 300,933 = 300,933 : x
  2. Step 2: Convert to fraction form
    147,375/300,933 = 300,933/x
  3. Step 3: Cross multiply
    147,375x = 300,933 × 300,933
  4. Step 4: Simplify right side
    147,375x = 90,560,670,489
  5. Step 5: Solve for x
    x = 90,560,670,489/147,375
  6. Step 6: Final answer
    x = 614,491.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.