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Finding the Third Proportional to 119,838 and 263,235

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Solution

The third proportional to 119,838 and 263,235 is: 578,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,838 : 263,235 = 263,235 : x
  2. Step 2: Convert to fraction form
    119,838/263,235 = 263,235/x
  3. Step 3: Cross multiply
    119,838x = 263,235 × 263,235
  4. Step 4: Simplify right side
    119,838x = 69,292,665,225
  5. Step 5: Solve for x
    x = 69,292,665,225/119,838
  6. Step 6: Final answer
    x = 578,219.47

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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.