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Finding the Third Proportional to 140,521.50 and 295,728

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Solution

The third proportional to 140,521.50 and 295,728 is: 622,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,521.50 : 295,728 = 295,728 : x
  2. Step 2: Convert to fraction form
    140,521.50/295,728 = 295,728/x
  3. Step 3: Cross multiply
    140,521.50x = 295,728 × 295,728
  4. Step 4: Simplify right side
    140,521.50x = 87,455,049,984
  5. Step 5: Solve for x
    x = 87,455,049,984/140,521.50
  6. Step 6: Final answer
    x = 622,360.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.