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Finding the Third Proportional to 160,618.50 and 349,848

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Solution

The third proportional to 160,618.50 and 349,848 is: 762,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,618.50 : 349,848 = 349,848 : x
  2. Step 2: Convert to fraction form
    160,618.50/349,848 = 349,848/x
  3. Step 3: Cross multiply
    160,618.50x = 349,848 × 349,848
  4. Step 4: Simplify right side
    160,618.50x = 122,393,623,104
  5. Step 5: Solve for x
    x = 122,393,623,104/160,618.50
  6. Step 6: Final answer
    x = 762,014.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.