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Finding the Third Proportional to 305,131.50 and 638,145

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Solution

The third proportional to 305,131.50 and 638,145 is: 1,334,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,131.50 : 638,145 = 638,145 : x
  2. Step 2: Convert to fraction form
    305,131.50/638,145 = 638,145/x
  3. Step 3: Cross multiply
    305,131.50x = 638,145 × 638,145
  4. Step 4: Simplify right side
    305,131.50x = 407,229,041,025
  5. Step 5: Solve for x
    x = 407,229,041,025/305,131.50
  6. Step 6: Final answer
    x = 1,334,601.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.