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Finding the Third Proportional to 187,104 and 413,600

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Solution

The third proportional to 187,104 and 413,600 is: 914,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,104 : 413,600 = 413,600 : x
  2. Step 2: Convert to fraction form
    187,104/413,600 = 413,600/x
  3. Step 3: Cross multiply
    187,104x = 413,600 × 413,600
  4. Step 4: Simplify right side
    187,104x = 171,064,960,000
  5. Step 5: Solve for x
    x = 171,064,960,000/187,104
  6. Step 6: Final answer
    x = 914,277.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.