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Finding the Third Proportional to 154,464 and 231,136

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Solution

The third proportional to 154,464 and 231,136 is: 345,866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,464 : 231,136 = 231,136 : x
  2. Step 2: Convert to fraction form
    154,464/231,136 = 231,136/x
  3. Step 3: Cross multiply
    154,464x = 231,136 × 231,136
  4. Step 4: Simplify right side
    154,464x = 53,423,850,496
  5. Step 5: Solve for x
    x = 53,423,850,496/154,464
  6. Step 6: Final answer
    x = 345,866.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.