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Finding the Third Proportional to 161,096 and 379,028

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Solution

The third proportional to 161,096 and 379,028 is: 891,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,096 : 379,028 = 379,028 : x
  2. Step 2: Convert to fraction form
    161,096/379,028 = 379,028/x
  3. Step 3: Cross multiply
    161,096x = 379,028 × 379,028
  4. Step 4: Simplify right side
    161,096x = 143,662,224,784
  5. Step 5: Solve for x
    x = 143,662,224,784/161,096
  6. Step 6: Final answer
    x = 891,780.21

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.