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Finding the Third Proportional to 183,154 and 380,339

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Solution

The third proportional to 183,154 and 380,339 is: 789,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,154 : 380,339 = 380,339 : x
  2. Step 2: Convert to fraction form
    183,154/380,339 = 380,339/x
  3. Step 3: Cross multiply
    183,154x = 380,339 × 380,339
  4. Step 4: Simplify right side
    183,154x = 144,657,754,921
  5. Step 5: Solve for x
    x = 144,657,754,921/183,154
  6. Step 6: Final answer
    x = 789,814.88

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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.