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Finding the Third Proportional to 168,801 and 258,838.50

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Solution

The third proportional to 168,801 and 258,838.50 is: 396,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,801 : 258,838.50 = 258,838.50 : x
  2. Step 2: Convert to fraction form
    168,801/258,838.50 = 258,838.50/x
  3. Step 3: Cross multiply
    168,801x = 258,838.50 × 258,838.50
  4. Step 4: Simplify right side
    168,801x = 66,997,369,082.25
  5. Step 5: Solve for x
    x = 66,997,369,082.25/168,801
  6. Step 6: Final answer
    x = 396,901.49

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