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Finding the Third Proportional to 119,834 and 263,226

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Solution

The third proportional to 119,834 and 263,226 is: 578,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,834 : 263,226 = 263,226 : x
  2. Step 2: Convert to fraction form
    119,834/263,226 = 263,226/x
  3. Step 3: Cross multiply
    119,834x = 263,226 × 263,226
  4. Step 4: Simplify right side
    119,834x = 69,287,927,076
  5. Step 5: Solve for x
    x = 69,287,927,076/119,834
  6. Step 6: Final answer
    x = 578,199.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.