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Finding the Third Proportional to 193,790 and 402,160

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Solution

The third proportional to 193,790 and 402,160 is: 834,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,790 : 402,160 = 402,160 : x
  2. Step 2: Convert to fraction form
    193,790/402,160 = 402,160/x
  3. Step 3: Cross multiply
    193,790x = 402,160 × 402,160
  4. Step 4: Simplify right side
    193,790x = 161,732,665,600
  5. Step 5: Solve for x
    x = 161,732,665,600/193,790
  6. Step 6: Final answer
    x = 834,576.94

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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.