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Finding the Third Proportional to 161,792.44 and 253,251.56

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Solution

The third proportional to 161,792.44 and 253,251.56 is: 396,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,792.44 : 253,251.56 = 253,251.56 : x
  2. Step 2: Convert to fraction form
    161,792.44/253,251.56 = 253,251.56/x
  3. Step 3: Cross multiply
    161,792.44x = 253,251.56 × 253,251.56
  4. Step 4: Simplify right side
    161,792.44x = 64,136,353,908.69
  5. Step 5: Solve for x
    x = 64,136,353,908.69/161,792.44
  6. Step 6: Final answer
    x = 396,411.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.