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Finding the Third Proportional to 227,752 and 347,136

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Solution

The third proportional to 227,752 and 347,136 is: 529,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,752 : 347,136 = 347,136 : x
  2. Step 2: Convert to fraction form
    227,752/347,136 = 347,136/x
  3. Step 3: Cross multiply
    227,752x = 347,136 × 347,136
  4. Step 4: Simplify right side
    227,752x = 120,503,402,496
  5. Step 5: Solve for x
    x = 120,503,402,496/227,752
  6. Step 6: Final answer
    x = 529,099.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.