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Finding the Third Proportional to 187,786 and 417,550

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Solution

The third proportional to 187,786 and 417,550 is: 928,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,786 : 417,550 = 417,550 : x
  2. Step 2: Convert to fraction form
    187,786/417,550 = 417,550/x
  3. Step 3: Cross multiply
    187,786x = 417,550 × 417,550
  4. Step 4: Simplify right side
    187,786x = 174,348,002,500
  5. Step 5: Solve for x
    x = 174,348,002,500/187,786
  6. Step 6: Final answer
    x = 928,439.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.