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Finding the Third Proportional to 119,349 and 262,692

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Solution

The third proportional to 119,349 and 262,692 is: 578,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,349 : 262,692 = 262,692 : x
  2. Step 2: Convert to fraction form
    119,349/262,692 = 262,692/x
  3. Step 3: Cross multiply
    119,349x = 262,692 × 262,692
  4. Step 4: Simplify right side
    119,349x = 69,007,086,864
  5. Step 5: Solve for x
    x = 69,007,086,864/119,349
  6. Step 6: Final answer
    x = 578,195.77

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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.