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Finding the Third Proportional to 172,801 and 247,105.50

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Solution

The third proportional to 172,801 and 247,105.50 is: 353,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,801 : 247,105.50 = 247,105.50 : x
  2. Step 2: Convert to fraction form
    172,801/247,105.50 = 247,105.50/x
  3. Step 3: Cross multiply
    172,801x = 247,105.50 × 247,105.50
  4. Step 4: Simplify right side
    172,801x = 61,061,128,130.25
  5. Step 5: Solve for x
    x = 61,061,128,130.25/172,801
  6. Step 6: Final answer
    x = 353,360.97

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.