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Finding the Third Proportional to 146,955 and 300,136

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Solution

The third proportional to 146,955 and 300,136 is: 612,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,955 : 300,136 = 300,136 : x
  2. Step 2: Convert to fraction form
    146,955/300,136 = 300,136/x
  3. Step 3: Cross multiply
    146,955x = 300,136 × 300,136
  4. Step 4: Simplify right side
    146,955x = 90,081,618,496
  5. Step 5: Solve for x
    x = 90,081,618,496/146,955
  6. Step 6: Final answer
    x = 612,987.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.