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Finding the Third Proportional to 104,700 and 230,136

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Solution

The third proportional to 104,700 and 230,136 is: 505,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,700 : 230,136 = 230,136 : x
  2. Step 2: Convert to fraction form
    104,700/230,136 = 230,136/x
  3. Step 3: Cross multiply
    104,700x = 230,136 × 230,136
  4. Step 4: Simplify right side
    104,700x = 52,962,578,496
  5. Step 5: Solve for x
    x = 52,962,578,496/104,700
  6. Step 6: Final answer
    x = 505,850.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.