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Finding the Third Proportional to 171,905.25 and 262,798.88

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Solution

The third proportional to 171,905.25 and 262,798.88 is: 401,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,905.25 : 262,798.88 = 262,798.88 : x
  2. Step 2: Convert to fraction form
    171,905.25/262,798.88 = 262,798.88/x
  3. Step 3: Cross multiply
    171,905.25x = 262,798.88 × 262,798.88
  4. Step 4: Simplify right side
    171,905.25x = 69,063,248,701.27
  5. Step 5: Solve for x
    x = 69,063,248,701.27/171,905.25
  6. Step 6: Final answer
    x = 401,751.83

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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.