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Finding the Third Proportional to 151,474 and 328,025

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Solution

The third proportional to 151,474 and 328,025 is: 710,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,474 : 328,025 = 328,025 : x
  2. Step 2: Convert to fraction form
    151,474/328,025 = 328,025/x
  3. Step 3: Cross multiply
    151,474x = 328,025 × 328,025
  4. Step 4: Simplify right side
    151,474x = 107,600,400,625
  5. Step 5: Solve for x
    x = 107,600,400,625/151,474
  6. Step 6: Final answer
    x = 710,355.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.