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Finding the Third Proportional to 231,136 and 366,760

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Solution

The third proportional to 231,136 and 366,760 is: 581,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,136 : 366,760 = 366,760 : x
  2. Step 2: Convert to fraction form
    231,136/366,760 = 366,760/x
  3. Step 3: Cross multiply
    231,136x = 366,760 × 366,760
  4. Step 4: Simplify right side
    231,136x = 134,512,897,600
  5. Step 5: Solve for x
    x = 134,512,897,600/231,136
  6. Step 6: Final answer
    x = 581,964.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.