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Finding the Third Proportional to 183,160 and 380,351

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Solution

The third proportional to 183,160 and 380,351 is: 789,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,160 : 380,351 = 380,351 : x
  2. Step 2: Convert to fraction form
    183,160/380,351 = 380,351/x
  3. Step 3: Cross multiply
    183,160x = 380,351 × 380,351
  4. Step 4: Simplify right side
    183,160x = 144,666,883,201
  5. Step 5: Solve for x
    x = 144,666,883,201/183,160
  6. Step 6: Final answer
    x = 789,838.85

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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.