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Finding the Third Proportional to 245,166 and 381,186

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Solution

The third proportional to 245,166 and 381,186 is: 592,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,166 : 381,186 = 381,186 : x
  2. Step 2: Convert to fraction form
    245,166/381,186 = 381,186/x
  3. Step 3: Cross multiply
    245,166x = 381,186 × 381,186
  4. Step 4: Simplify right side
    245,166x = 145,302,766,596
  5. Step 5: Solve for x
    x = 145,302,766,596/245,166
  6. Step 6: Final answer
    x = 592,670.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.