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Finding the Third Proportional to 168,320 and 365,253

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Solution

The third proportional to 168,320 and 365,253 is: 792,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,320 : 365,253 = 365,253 : x
  2. Step 2: Convert to fraction form
    168,320/365,253 = 365,253/x
  3. Step 3: Cross multiply
    168,320x = 365,253 × 365,253
  4. Step 4: Simplify right side
    168,320x = 133,409,754,009
  5. Step 5: Solve for x
    x = 133,409,754,009/168,320
  6. Step 6: Final answer
    x = 792,595.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.