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Finding the Third Proportional to 119,836 and 263,230

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Solution

The third proportional to 119,836 and 263,230 is: 578,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,836 : 263,230 = 263,230 : x
  2. Step 2: Convert to fraction form
    119,836/263,230 = 263,230/x
  3. Step 3: Cross multiply
    119,836x = 263,230 × 263,230
  4. Step 4: Simplify right side
    119,836x = 69,290,032,900
  5. Step 5: Solve for x
    x = 69,290,032,900/119,836
  6. Step 6: Final answer
    x = 578,207.16

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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.