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Finding the Third Proportional to 172,714.50 and 263,250

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Solution

The third proportional to 172,714.50 and 263,250 is: 401,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,714.50 : 263,250 = 263,250 : x
  2. Step 2: Convert to fraction form
    172,714.50/263,250 = 263,250/x
  3. Step 3: Cross multiply
    172,714.50x = 263,250 × 263,250
  4. Step 4: Simplify right side
    172,714.50x = 69,300,562,500
  5. Step 5: Solve for x
    x = 69,300,562,500/172,714.50
  6. Step 6: Final answer
    x = 401,243.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.