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Finding the Third Proportional to 171,927 and 262,830.50

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Solution

The third proportional to 171,927 and 262,830.50 is: 401,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,927 : 262,830.50 = 262,830.50 : x
  2. Step 2: Convert to fraction form
    171,927/262,830.50 = 262,830.50/x
  3. Step 3: Cross multiply
    171,927x = 262,830.50 × 262,830.50
  4. Step 4: Simplify right side
    171,927x = 69,079,871,730.25
  5. Step 5: Solve for x
    x = 69,079,871,730.25/171,927
  6. Step 6: Final answer
    x = 401,797.69

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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.