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Finding the Third Proportional to 164.53 and 240.47

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Solution

The third proportional to 164.53 and 240.47 is: 351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 240.47 = 240.47 : x
  2. Step 2: Convert to fraction form
    164.53/240.47 = 240.47/x
  3. Step 3: Cross multiply
    164.53x = 240.47 × 240.47
  4. Step 4: Simplify right side
    164.53x = 57,825.22
  5. Step 5: Solve for x
    x = 57,825.22/164.53
  6. Step 6: Final answer
    x = 351.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.