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Finding the Third Proportional to 160,852.50 and 348,183

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Solution

The third proportional to 160,852.50 and 348,183 is: 753,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,852.50 : 348,183 = 348,183 : x
  2. Step 2: Convert to fraction form
    160,852.50/348,183 = 348,183/x
  3. Step 3: Cross multiply
    160,852.50x = 348,183 × 348,183
  4. Step 4: Simplify right side
    160,852.50x = 121,231,401,489
  5. Step 5: Solve for x
    x = 121,231,401,489/160,852.50
  6. Step 6: Final answer
    x = 753,680.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.