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Finding the Third Proportional to 78,194 and 168,835

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Solution

The third proportional to 78,194 and 168,835 is: 364,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,194 : 168,835 = 168,835 : x
  2. Step 2: Convert to fraction form
    78,194/168,835 = 168,835/x
  3. Step 3: Cross multiply
    78,194x = 168,835 × 168,835
  4. Step 4: Simplify right side
    78,194x = 28,505,257,225
  5. Step 5: Solve for x
    x = 28,505,257,225/78,194
  6. Step 6: Final answer
    x = 364,545.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.