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Finding the Third Proportional to 149,541 and 213,295

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Solution

The third proportional to 149,541 and 213,295 is: 304,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,541 : 213,295 = 213,295 : x
  2. Step 2: Convert to fraction form
    149,541/213,295 = 213,295/x
  3. Step 3: Cross multiply
    149,541x = 213,295 × 213,295
  4. Step 4: Simplify right side
    149,541x = 45,494,757,025
  5. Step 5: Solve for x
    x = 45,494,757,025/149,541
  6. Step 6: Final answer
    x = 304,229.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.