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Finding the Third Proportional to 185,110 and 393,575

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Solution

The third proportional to 185,110 and 393,575 is: 836,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,110 : 393,575 = 393,575 : x
  2. Step 2: Convert to fraction form
    185,110/393,575 = 393,575/x
  3. Step 3: Cross multiply
    185,110x = 393,575 × 393,575
  4. Step 4: Simplify right side
    185,110x = 154,901,280,625
  5. Step 5: Solve for x
    x = 154,901,280,625/185,110
  6. Step 6: Final answer
    x = 836,806.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.