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Finding the Third Proportional to 213,091 and 323,524

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Solution

The third proportional to 213,091 and 323,524 is: 491,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,091 : 323,524 = 323,524 : x
  2. Step 2: Convert to fraction form
    213,091/323,524 = 323,524/x
  3. Step 3: Cross multiply
    213,091x = 323,524 × 323,524
  4. Step 4: Simplify right side
    213,091x = 104,667,778,576
  5. Step 5: Solve for x
    x = 104,667,778,576/213,091
  6. Step 6: Final answer
    x = 491,188.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.