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Finding the Third Proportional to 146,129.06 and 303,737.63

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Solution

The third proportional to 146,129.06 and 303,737.63 is: 631,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,129.06 : 303,737.63 = 303,737.63 : x
  2. Step 2: Convert to fraction form
    146,129.06/303,737.63 = 303,737.63/x
  3. Step 3: Cross multiply
    146,129.06x = 303,737.63 × 303,737.63
  4. Step 4: Simplify right side
    146,129.06x = 92,256,544,840.64
  5. Step 5: Solve for x
    x = 92,256,544,840.64/146,129.06
  6. Step 6: Final answer
    x = 631,336.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.