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Finding the Third Proportional to 119,361 and 262,710

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Solution

The third proportional to 119,361 and 262,710 is: 578,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,361 : 262,710 = 262,710 : x
  2. Step 2: Convert to fraction form
    119,361/262,710 = 262,710/x
  3. Step 3: Cross multiply
    119,361x = 262,710 × 262,710
  4. Step 4: Simplify right side
    119,361x = 69,016,544,100
  5. Step 5: Solve for x
    x = 69,016,544,100/119,361
  6. Step 6: Final answer
    x = 578,216.87

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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.