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Finding the Third Proportional to 185,205 and 276,588

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Solution

The third proportional to 185,205 and 276,588 is: 413,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,205 : 276,588 = 276,588 : x
  2. Step 2: Convert to fraction form
    185,205/276,588 = 276,588/x
  3. Step 3: Cross multiply
    185,205x = 276,588 × 276,588
  4. Step 4: Simplify right side
    185,205x = 76,500,921,744
  5. Step 5: Solve for x
    x = 76,500,921,744/185,205
  6. Step 6: Final answer
    x = 413,060.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.