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Finding the Third Proportional to 213,660 and 332,145

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Solution

The third proportional to 213,660 and 332,145 is: 516,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,660 : 332,145 = 332,145 : x
  2. Step 2: Convert to fraction form
    213,660/332,145 = 332,145/x
  3. Step 3: Cross multiply
    213,660x = 332,145 × 332,145
  4. Step 4: Simplify right side
    213,660x = 110,320,301,025
  5. Step 5: Solve for x
    x = 110,320,301,025/213,660
  6. Step 6: Final answer
    x = 516,335.77

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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.