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Finding the Third Proportional to 113,404 and 236,136

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Solution

The third proportional to 113,404 and 236,136 is: 491,695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,404 : 236,136 = 236,136 : x
  2. Step 2: Convert to fraction form
    113,404/236,136 = 236,136/x
  3. Step 3: Cross multiply
    113,404x = 236,136 × 236,136
  4. Step 4: Simplify right side
    113,404x = 55,760,210,496
  5. Step 5: Solve for x
    x = 55,760,210,496/113,404
  6. Step 6: Final answer
    x = 491,695.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.