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Finding the Third Proportional to 187,012 and 263,046

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Solution

The third proportional to 187,012 and 263,046 is: 369,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,012 : 263,046 = 263,046 : x
  2. Step 2: Convert to fraction form
    187,012/263,046 = 263,046/x
  3. Step 3: Cross multiply
    187,012x = 263,046 × 263,046
  4. Step 4: Simplify right side
    187,012x = 69,193,198,116
  5. Step 5: Solve for x
    x = 69,193,198,116/187,012
  6. Step 6: Final answer
    x = 369,993.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.