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Finding the Third Proportional to 140,228 and 303,064

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Solution

The third proportional to 140,228 and 303,064 is: 654,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,228 : 303,064 = 303,064 : x
  2. Step 2: Convert to fraction form
    140,228/303,064 = 303,064/x
  3. Step 3: Cross multiply
    140,228x = 303,064 × 303,064
  4. Step 4: Simplify right side
    140,228x = 91,847,788,096
  5. Step 5: Solve for x
    x = 91,847,788,096/140,228
  6. Step 6: Final answer
    x = 654,988.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.