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Finding the Third Proportional to 110,478.38 and 168,927

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Solution

The third proportional to 110,478.38 and 168,927 is: 258,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,478.38 : 168,927 = 168,927 : x
  2. Step 2: Convert to fraction form
    110,478.38/168,927 = 168,927/x
  3. Step 3: Cross multiply
    110,478.38x = 168,927 × 168,927
  4. Step 4: Simplify right side
    110,478.38x = 28,536,331,329
  5. Step 5: Solve for x
    x = 28,536,331,329/110,478.38
  6. Step 6: Final answer
    x = 258,297.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.