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Finding the Third Proportional to 161.63 and 359.13

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Solution

The third proportional to 161.63 and 359.13 is: 797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.63 : 359.13 = 359.13 : x
  2. Step 2: Convert to fraction form
    161.63/359.13 = 359.13/x
  3. Step 3: Cross multiply
    161.63x = 359.13 × 359.13
  4. Step 4: Simplify right side
    161.63x = 128,970.77
  5. Step 5: Solve for x
    x = 128,970.77/161.63
  6. Step 6: Final answer
    x = 797.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.