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Finding the Third Proportional to 163.50 and 386.63

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Solution

The third proportional to 163.50 and 386.63 is: 914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.50 : 386.63 = 386.63 : x
  2. Step 2: Convert to fraction form
    163.50/386.63 = 386.63/x
  3. Step 3: Cross multiply
    163.50x = 386.63 × 386.63
  4. Step 4: Simplify right side
    163.50x = 149,478.89
  5. Step 5: Solve for x
    x = 149,478.89/163.50
  6. Step 6: Final answer
    x = 914.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.