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Finding the Third Proportional to 185,206 and 276,590

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Solution

The third proportional to 185,206 and 276,590 is: 413,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,206 : 276,590 = 276,590 : x
  2. Step 2: Convert to fraction form
    185,206/276,590 = 276,590/x
  3. Step 3: Cross multiply
    185,206x = 276,590 × 276,590
  4. Step 4: Simplify right side
    185,206x = 76,502,028,100
  5. Step 5: Solve for x
    x = 76,502,028,100/185,206
  6. Step 6: Final answer
    x = 413,064.52

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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.