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Finding the Third Proportional to 189,435 and 405,136

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Solution

The third proportional to 189,435 and 405,136 is: 866,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,435 : 405,136 = 405,136 : x
  2. Step 2: Convert to fraction form
    189,435/405,136 = 405,136/x
  3. Step 3: Cross multiply
    189,435x = 405,136 × 405,136
  4. Step 4: Simplify right side
    189,435x = 164,135,178,496
  5. Step 5: Solve for x
    x = 164,135,178,496/189,435
  6. Step 6: Final answer
    x = 866,445.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.