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Finding the Third Proportional to 180,034 and 393,956

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Solution

The third proportional to 180,034 and 393,956 is: 862,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,034 : 393,956 = 393,956 : x
  2. Step 2: Convert to fraction form
    180,034/393,956 = 393,956/x
  3. Step 3: Cross multiply
    180,034x = 393,956 × 393,956
  4. Step 4: Simplify right side
    180,034x = 155,201,329,936
  5. Step 5: Solve for x
    x = 155,201,329,936/180,034
  6. Step 6: Final answer
    x = 862,066.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.