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Finding the Third Proportional to 213,942 and 332,614

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Solution

The third proportional to 213,942 and 332,614 is: 517,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,942 : 332,614 = 332,614 : x
  2. Step 2: Convert to fraction form
    213,942/332,614 = 332,614/x
  3. Step 3: Cross multiply
    213,942x = 332,614 × 332,614
  4. Step 4: Simplify right side
    213,942x = 110,632,072,996
  5. Step 5: Solve for x
    x = 110,632,072,996/213,942
  6. Step 6: Final answer
    x = 517,112.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.