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Finding the Third Proportional to 146,121.47 and 303,724.69

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Solution

The third proportional to 146,121.47 and 303,724.69 is: 631,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,121.47 : 303,724.69 = 303,724.69 : x
  2. Step 2: Convert to fraction form
    146,121.47/303,724.69 = 303,724.69/x
  3. Step 3: Cross multiply
    146,121.47x = 303,724.69 × 303,724.69
  4. Step 4: Simplify right side
    146,121.47x = 92,248,685,796.97
  5. Step 5: Solve for x
    x = 92,248,685,796.97/146,121.47
  6. Step 6: Final answer
    x = 631,315.07

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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.