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Finding the Third Proportional to 183,158 and 380,347

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Solution

The third proportional to 183,158 and 380,347 is: 789,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,158 : 380,347 = 380,347 : x
  2. Step 2: Convert to fraction form
    183,158/380,347 = 380,347/x
  3. Step 3: Cross multiply
    183,158x = 380,347 × 380,347
  4. Step 4: Simplify right side
    183,158x = 144,663,840,409
  5. Step 5: Solve for x
    x = 144,663,840,409/183,158
  6. Step 6: Final answer
    x = 789,830.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.