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Finding the Third Proportional to 113,684 and 239,152

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Solution

The third proportional to 113,684 and 239,152 is: 503,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,684 : 239,152 = 239,152 : x
  2. Step 2: Convert to fraction form
    113,684/239,152 = 239,152/x
  3. Step 3: Cross multiply
    113,684x = 239,152 × 239,152
  4. Step 4: Simplify right side
    113,684x = 57,193,679,104
  5. Step 5: Solve for x
    x = 57,193,679,104/113,684
  6. Step 6: Final answer
    x = 503,093.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.