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Finding the Third Proportional to 139,161 and 300,550

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Solution

The third proportional to 139,161 and 300,550 is: 649,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,161 : 300,550 = 300,550 : x
  2. Step 2: Convert to fraction form
    139,161/300,550 = 300,550/x
  3. Step 3: Cross multiply
    139,161x = 300,550 × 300,550
  4. Step 4: Simplify right side
    139,161x = 90,330,302,500
  5. Step 5: Solve for x
    x = 90,330,302,500/139,161
  6. Step 6: Final answer
    x = 649,106.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.