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Finding the Third Proportional to 185,155 and 276,521

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Solution

The third proportional to 185,155 and 276,521 is: 412,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,155 : 276,521 = 276,521 : x
  2. Step 2: Convert to fraction form
    185,155/276,521 = 276,521/x
  3. Step 3: Cross multiply
    185,155x = 276,521 × 276,521
  4. Step 4: Simplify right side
    185,155x = 76,463,863,441
  5. Step 5: Solve for x
    x = 76,463,863,441/185,155
  6. Step 6: Final answer
    x = 412,972.18

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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.