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Finding the Third Proportional to 183,166 and 386,012

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Solution

The third proportional to 183,166 and 386,012 is: 813,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,166 : 386,012 = 386,012 : x
  2. Step 2: Convert to fraction form
    183,166/386,012 = 386,012/x
  3. Step 3: Cross multiply
    183,166x = 386,012 × 386,012
  4. Step 4: Simplify right side
    183,166x = 149,005,264,144
  5. Step 5: Solve for x
    x = 149,005,264,144/183,166
  6. Step 6: Final answer
    x = 813,498.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.