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Finding the Third Proportional to 187,043 and 400,672

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Solution

The third proportional to 187,043 and 400,672 is: 858,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,043 : 400,672 = 400,672 : x
  2. Step 2: Convert to fraction form
    187,043/400,672 = 400,672/x
  3. Step 3: Cross multiply
    187,043x = 400,672 × 400,672
  4. Step 4: Simplify right side
    187,043x = 160,538,051,584
  5. Step 5: Solve for x
    x = 160,538,051,584/187,043
  6. Step 6: Final answer
    x = 858,294.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.