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Finding the Third Proportional to 168,412.92 and 254,374.17

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Solution

The third proportional to 168,412.92 and 254,374.17 is: 384,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,412.92 : 254,374.17 = 254,374.17 : x
  2. Step 2: Convert to fraction form
    168,412.92/254,374.17 = 254,374.17/x
  3. Step 3: Cross multiply
    168,412.92x = 254,374.17 × 254,374.17
  4. Step 4: Simplify right side
    168,412.92x = 64,706,219,317.09
  5. Step 5: Solve for x
    x = 64,706,219,317.09/168,412.92
  6. Step 6: Final answer
    x = 384,211.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.