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Finding the Third Proportional to 179,136 and 386,244

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Solution

The third proportional to 179,136 and 386,244 is: 832,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,136 : 386,244 = 386,244 : x
  2. Step 2: Convert to fraction form
    179,136/386,244 = 386,244/x
  3. Step 3: Cross multiply
    179,136x = 386,244 × 386,244
  4. Step 4: Simplify right side
    179,136x = 149,184,427,536
  5. Step 5: Solve for x
    x = 149,184,427,536/179,136
  6. Step 6: Final answer
    x = 832,799.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.