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Finding the Third Proportional to 185,189 and 262,213

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Solution

The third proportional to 185,189 and 262,213 is: 371,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,189 : 262,213 = 262,213 : x
  2. Step 2: Convert to fraction form
    185,189/262,213 = 262,213/x
  3. Step 3: Cross multiply
    185,189x = 262,213 × 262,213
  4. Step 4: Simplify right side
    185,189x = 68,755,657,369
  5. Step 5: Solve for x
    x = 68,755,657,369/185,189
  6. Step 6: Final answer
    x = 371,272.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.