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Finding the Third Proportional to 148,325 and 307,163.50

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Solution

The third proportional to 148,325 and 307,163.50 is: 636,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,325 : 307,163.50 = 307,163.50 : x
  2. Step 2: Convert to fraction form
    148,325/307,163.50 = 307,163.50/x
  3. Step 3: Cross multiply
    148,325x = 307,163.50 × 307,163.50
  4. Step 4: Simplify right side
    148,325x = 94,349,415,732.25
  5. Step 5: Solve for x
    x = 94,349,415,732.25/148,325
  6. Step 6: Final answer
    x = 636,099.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.