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Finding the Third Proportional to 122,053 and 263,846

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Solution

The third proportional to 122,053 and 263,846 is: 570,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,053 : 263,846 = 263,846 : x
  2. Step 2: Convert to fraction form
    122,053/263,846 = 263,846/x
  3. Step 3: Cross multiply
    122,053x = 263,846 × 263,846
  4. Step 4: Simplify right side
    122,053x = 69,614,711,716
  5. Step 5: Solve for x
    x = 69,614,711,716/122,053
  6. Step 6: Final answer
    x = 570,364.61

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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.