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Finding the Third Proportional to 187,010 and 263,043

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Solution

The third proportional to 187,010 and 263,043 is: 369,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,010 : 263,043 = 263,043 : x
  2. Step 2: Convert to fraction form
    187,010/263,043 = 263,043/x
  3. Step 3: Cross multiply
    187,010x = 263,043 × 263,043
  4. Step 4: Simplify right side
    187,010x = 69,191,619,849
  5. Step 5: Solve for x
    x = 69,191,619,849/187,010
  6. Step 6: Final answer
    x = 369,988.88

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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.