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Finding the Third Proportional to 78,230 and 168,253

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Solution

The third proportional to 78,230 and 168,253 is: 361,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,230 : 168,253 = 168,253 : x
  2. Step 2: Convert to fraction form
    78,230/168,253 = 168,253/x
  3. Step 3: Cross multiply
    78,230x = 168,253 × 168,253
  4. Step 4: Simplify right side
    78,230x = 28,309,072,009
  5. Step 5: Solve for x
    x = 28,309,072,009/78,230
  6. Step 6: Final answer
    x = 361,869.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.