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Finding the Third Proportional to 213,703.50 and 332,212.13

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Solution

The third proportional to 213,703.50 and 332,212.13 is: 516,439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,703.50 : 332,212.13 = 332,212.13 : x
  2. Step 2: Convert to fraction form
    213,703.50/332,212.13 = 332,212.13/x
  3. Step 3: Cross multiply
    213,703.50x = 332,212.13 × 332,212.13
  4. Step 4: Simplify right side
    213,703.50x = 110,364,895,997.02
  5. Step 5: Solve for x
    x = 110,364,895,997.02/213,703.50
  6. Step 6: Final answer
    x = 516,439.35

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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.