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Finding the Third Proportional to 227,136 and 346,752

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Solution

The third proportional to 227,136 and 346,752 is: 529,361.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,136 : 346,752 = 346,752 : x
  2. Step 2: Convert to fraction form
    227,136/346,752 = 346,752/x
  3. Step 3: Cross multiply
    227,136x = 346,752 × 346,752
  4. Step 4: Simplify right side
    227,136x = 120,236,949,504
  5. Step 5: Solve for x
    x = 120,236,949,504/227,136
  6. Step 6: Final answer
    x = 529,361.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.