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Finding the Third Proportional to 102,524 and 221,891

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Solution

The third proportional to 102,524 and 221,891 is: 480,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,524 : 221,891 = 221,891 : x
  2. Step 2: Convert to fraction form
    102,524/221,891 = 221,891/x
  3. Step 3: Cross multiply
    102,524x = 221,891 × 221,891
  4. Step 4: Simplify right side
    102,524x = 49,235,615,881
  5. Step 5: Solve for x
    x = 49,235,615,881/102,524
  6. Step 6: Final answer
    x = 480,235.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.