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Finding the Third Proportional to 210,203.86 and 326,380.64

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Solution

The third proportional to 210,203.86 and 326,380.64 is: 506,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,203.86 : 326,380.64 = 326,380.64 : x
  2. Step 2: Convert to fraction form
    210,203.86/326,380.64 = 326,380.64/x
  3. Step 3: Cross multiply
    210,203.86x = 326,380.64 × 326,380.64
  4. Step 4: Simplify right side
    210,203.86x = 106,524,322,574.79
  5. Step 5: Solve for x
    x = 106,524,322,574.79/210,203.86
  6. Step 6: Final answer
    x = 506,766.73

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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.