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Finding the Third Proportional to 187,407 and 396,549

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Solution

The third proportional to 187,407 and 396,549 is: 839,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,407 : 396,549 = 396,549 : x
  2. Step 2: Convert to fraction form
    187,407/396,549 = 396,549/x
  3. Step 3: Cross multiply
    187,407x = 396,549 × 396,549
  4. Step 4: Simplify right side
    187,407x = 157,251,109,401
  5. Step 5: Solve for x
    x = 157,251,109,401/187,407
  6. Step 6: Final answer
    x = 839,088.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.