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Finding the Third Proportional to 248,016 and 551,136

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Solution

The third proportional to 248,016 and 551,136 is: 1,224,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,016 : 551,136 = 551,136 : x
  2. Step 2: Convert to fraction form
    248,016/551,136 = 551,136/x
  3. Step 3: Cross multiply
    248,016x = 551,136 × 551,136
  4. Step 4: Simplify right side
    248,016x = 303,750,890,496
  5. Step 5: Solve for x
    x = 303,750,890,496/248,016
  6. Step 6: Final answer
    x = 1,224,722.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.