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Finding the Third Proportional to 187,236.56 and 287,112.09

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Solution

The third proportional to 187,236.56 and 287,112.09 is: 440,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,236.56 : 287,112.09 = 287,112.09 : x
  2. Step 2: Convert to fraction form
    187,236.56/287,112.09 = 287,112.09/x
  3. Step 3: Cross multiply
    187,236.56x = 287,112.09 × 287,112.09
  4. Step 4: Simplify right side
    187,236.56x = 82,433,354,377.51
  5. Step 5: Solve for x
    x = 82,433,354,377.51/187,236.56
  6. Step 6: Final answer
    x = 440,263.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.