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Finding the Third Proportional to 211,610 and 327,927

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Solution

The third proportional to 211,610 and 327,927 is: 508,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,610 : 327,927 = 327,927 : x
  2. Step 2: Convert to fraction form
    211,610/327,927 = 327,927/x
  3. Step 3: Cross multiply
    211,610x = 327,927 × 327,927
  4. Step 4: Simplify right side
    211,610x = 107,536,117,329
  5. Step 5: Solve for x
    x = 107,536,117,329/211,610
  6. Step 6: Final answer
    x = 508,180.70

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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.