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Finding the Third Proportional to 187,013 and 263,047

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Solution

The third proportional to 187,013 and 263,047 is: 369,994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,013 : 263,047 = 263,047 : x
  2. Step 2: Convert to fraction form
    187,013/263,047 = 263,047/x
  3. Step 3: Cross multiply
    187,013x = 263,047 × 263,047
  4. Step 4: Simplify right side
    187,013x = 69,193,724,209
  5. Step 5: Solve for x
    x = 69,193,724,209/187,013
  6. Step 6: Final answer
    x = 369,994.19

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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.