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Finding the Third Proportional to 139,482 and 256,041

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Solution

The third proportional to 139,482 and 256,041 is: 470,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,482 : 256,041 = 256,041 : x
  2. Step 2: Convert to fraction form
    139,482/256,041 = 256,041/x
  3. Step 3: Cross multiply
    139,482x = 256,041 × 256,041
  4. Step 4: Simplify right side
    139,482x = 65,556,993,681
  5. Step 5: Solve for x
    x = 65,556,993,681/139,482
  6. Step 6: Final answer
    x = 470,003.25

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.