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Finding the Third Proportional to 211,267.13 and 327,627

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Solution

The third proportional to 211,267.13 and 327,627 is: 508,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,267.13 : 327,627 = 327,627 : x
  2. Step 2: Convert to fraction form
    211,267.13/327,627 = 327,627/x
  3. Step 3: Cross multiply
    211,267.13x = 327,627 × 327,627
  4. Step 4: Simplify right side
    211,267.13x = 107,339,451,129
  5. Step 5: Solve for x
    x = 107,339,451,129/211,267.13
  6. Step 6: Final answer
    x = 508,074.56

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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.