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Finding the Third Proportional to 181,136 and 250,280

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Solution

The third proportional to 181,136 and 250,280 is: 345,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,136 : 250,280 = 250,280 : x
  2. Step 2: Convert to fraction form
    181,136/250,280 = 250,280/x
  3. Step 3: Cross multiply
    181,136x = 250,280 × 250,280
  4. Step 4: Simplify right side
    181,136x = 62,640,078,400
  5. Step 5: Solve for x
    x = 62,640,078,400/181,136
  6. Step 6: Final answer
    x = 345,817.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.