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Finding the Third Proportional to 213,662 and 332,148

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Solution

The third proportional to 213,662 and 332,148 is: 516,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,662 : 332,148 = 332,148 : x
  2. Step 2: Convert to fraction form
    213,662/332,148 = 332,148/x
  3. Step 3: Cross multiply
    213,662x = 332,148 × 332,148
  4. Step 4: Simplify right side
    213,662x = 110,322,293,904
  5. Step 5: Solve for x
    x = 110,322,293,904/213,662
  6. Step 6: Final answer
    x = 516,340.27

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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.