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Finding the Third Proportional to 181,106 and 393,352

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Solution

The third proportional to 181,106 and 393,352 is: 854,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,106 : 393,352 = 393,352 : x
  2. Step 2: Convert to fraction form
    181,106/393,352 = 393,352/x
  3. Step 3: Cross multiply
    181,106x = 393,352 × 393,352
  4. Step 4: Simplify right side
    181,106x = 154,725,795,904
  5. Step 5: Solve for x
    x = 154,725,795,904/181,106
  6. Step 6: Final answer
    x = 854,338.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.