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Finding the Third Proportional to 183,081 and 385,844

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Solution

The third proportional to 183,081 and 385,844 is: 813,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,081 : 385,844 = 385,844 : x
  2. Step 2: Convert to fraction form
    183,081/385,844 = 385,844/x
  3. Step 3: Cross multiply
    183,081x = 385,844 × 385,844
  4. Step 4: Simplify right side
    183,081x = 148,875,592,336
  5. Step 5: Solve for x
    x = 148,875,592,336/183,081
  6. Step 6: Final answer
    x = 813,167.90

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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.