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Finding the Third Proportional to 160,852 and 339,848

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Solution

The third proportional to 160,852 and 339,848 is: 718,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,852 : 339,848 = 339,848 : x
  2. Step 2: Convert to fraction form
    160,852/339,848 = 339,848/x
  3. Step 3: Cross multiply
    160,852x = 339,848 × 339,848
  4. Step 4: Simplify right side
    160,852x = 115,496,663,104
  5. Step 5: Solve for x
    x = 115,496,663,104/160,852
  6. Step 6: Final answer
    x = 718,030.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.