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Finding the Third Proportional to 167,136 and 348,096

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Solution

The third proportional to 167,136 and 348,096 is: 724,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,136 : 348,096 = 348,096 : x
  2. Step 2: Convert to fraction form
    167,136/348,096 = 348,096/x
  3. Step 3: Cross multiply
    167,136x = 348,096 × 348,096
  4. Step 4: Simplify right side
    167,136x = 121,170,825,216
  5. Step 5: Solve for x
    x = 121,170,825,216/167,136
  6. Step 6: Final answer
    x = 724,983.40

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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.