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Finding the Third Proportional to 180,024 and 393,942

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Solution

The third proportional to 180,024 and 393,942 is: 862,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,024 : 393,942 = 393,942 : x
  2. Step 2: Convert to fraction form
    180,024/393,942 = 393,942/x
  3. Step 3: Cross multiply
    180,024x = 393,942 × 393,942
  4. Step 4: Simplify right side
    180,024x = 155,190,299,364
  5. Step 5: Solve for x
    x = 155,190,299,364/180,024
  6. Step 6: Final answer
    x = 862,053.39

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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.