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Finding the Third Proportional to 112,840 and 238,356

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Solution

The third proportional to 112,840 and 238,356 is: 503,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,840 : 238,356 = 238,356 : x
  2. Step 2: Convert to fraction form
    112,840/238,356 = 238,356/x
  3. Step 3: Cross multiply
    112,840x = 238,356 × 238,356
  4. Step 4: Simplify right side
    112,840x = 56,813,582,736
  5. Step 5: Solve for x
    x = 56,813,582,736/112,840
  6. Step 6: Final answer
    x = 503,487.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.