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Finding the Third Proportional to 227,136 and 330,846

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Solution

The third proportional to 227,136 and 330,846 is: 481,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,136 : 330,846 = 330,846 : x
  2. Step 2: Convert to fraction form
    227,136/330,846 = 330,846/x
  3. Step 3: Cross multiply
    227,136x = 330,846 × 330,846
  4. Step 4: Simplify right side
    227,136x = 109,459,075,716
  5. Step 5: Solve for x
    x = 109,459,075,716/227,136
  6. Step 6: Final answer
    x = 481,909.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.