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Finding the Third Proportional to 160,848 and 349,344

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Solution

The third proportional to 160,848 and 349,344 is: 758,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,848 : 349,344 = 349,344 : x
  2. Step 2: Convert to fraction form
    160,848/349,344 = 349,344/x
  3. Step 3: Cross multiply
    160,848x = 349,344 × 349,344
  4. Step 4: Simplify right side
    160,848x = 122,041,230,336
  5. Step 5: Solve for x
    x = 122,041,230,336/160,848
  6. Step 6: Final answer
    x = 758,736.39

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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.