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Finding the Third Proportional to 187,352 and 400,936

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Solution

The third proportional to 187,352 and 400,936 is: 858,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,352 : 400,936 = 400,936 : x
  2. Step 2: Convert to fraction form
    187,352/400,936 = 400,936/x
  3. Step 3: Cross multiply
    187,352x = 400,936 × 400,936
  4. Step 4: Simplify right side
    187,352x = 160,749,676,096
  5. Step 5: Solve for x
    x = 160,749,676,096/187,352
  6. Step 6: Final answer
    x = 858,008.86

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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.