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Finding the Third Proportional to 149,025 and 225,463.50

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Solution

The third proportional to 149,025 and 225,463.50 is: 341,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,025 : 225,463.50 = 225,463.50 : x
  2. Step 2: Convert to fraction form
    149,025/225,463.50 = 225,463.50/x
  3. Step 3: Cross multiply
    149,025x = 225,463.50 × 225,463.50
  4. Step 4: Simplify right side
    149,025x = 50,833,789,832.25
  5. Step 5: Solve for x
    x = 50,833,789,832.25/149,025
  6. Step 6: Final answer
    x = 341,109.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.