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Finding the Third Proportional to 112,160 and 234,704

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Solution

The third proportional to 112,160 and 234,704 is: 491,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,160 : 234,704 = 234,704 : x
  2. Step 2: Convert to fraction form
    112,160/234,704 = 234,704/x
  3. Step 3: Cross multiply
    112,160x = 234,704 × 234,704
  4. Step 4: Simplify right side
    112,160x = 55,085,967,616
  5. Step 5: Solve for x
    x = 55,085,967,616/112,160
  6. Step 6: Final answer
    x = 491,137.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.