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Finding the Third Proportional to 147,285 and 323,244

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Solution

The third proportional to 147,285 and 323,244 is: 709,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,285 : 323,244 = 323,244 : x
  2. Step 2: Convert to fraction form
    147,285/323,244 = 323,244/x
  3. Step 3: Cross multiply
    147,285x = 323,244 × 323,244
  4. Step 4: Simplify right side
    147,285x = 104,486,683,536
  5. Step 5: Solve for x
    x = 104,486,683,536/147,285
  6. Step 6: Final answer
    x = 709,418.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.