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Finding the Third Proportional to 211,451.50 and 327,923.50

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Solution

The third proportional to 211,451.50 and 327,923.50 is: 508,550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,451.50 : 327,923.50 = 327,923.50 : x
  2. Step 2: Convert to fraction form
    211,451.50/327,923.50 = 327,923.50/x
  3. Step 3: Cross multiply
    211,451.50x = 327,923.50 × 327,923.50
  4. Step 4: Simplify right side
    211,451.50x = 107,533,821,852.25
  5. Step 5: Solve for x
    x = 107,533,821,852.25/211,451.50
  6. Step 6: Final answer
    x = 508,550.76

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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.