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Finding the Third Proportional to 146,134 and 303,748

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Solution

The third proportional to 146,134 and 303,748 is: 631,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,134 : 303,748 = 303,748 : x
  2. Step 2: Convert to fraction form
    146,134/303,748 = 303,748/x
  3. Step 3: Cross multiply
    146,134x = 303,748 × 303,748
  4. Step 4: Simplify right side
    146,134x = 92,262,847,504
  5. Step 5: Solve for x
    x = 92,262,847,504/146,134
  6. Step 6: Final answer
    x = 631,357.85

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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.