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Finding the Third Proportional to 119,860 and 263,047

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Solution

The third proportional to 119,860 and 263,047 is: 577,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,860 : 263,047 = 263,047 : x
  2. Step 2: Convert to fraction form
    119,860/263,047 = 263,047/x
  3. Step 3: Cross multiply
    119,860x = 263,047 × 263,047
  4. Step 4: Simplify right side
    119,860x = 69,193,724,209
  5. Step 5: Solve for x
    x = 69,193,724,209/119,860
  6. Step 6: Final answer
    x = 577,287.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.