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Finding the Third Proportional to 146.95 and 348.12

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Solution

The third proportional to 146.95 and 348.12 is: 824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.95 : 348.12 = 348.12 : x
  2. Step 2: Convert to fraction form
    146.95/348.12 = 348.12/x
  3. Step 3: Cross multiply
    146.95x = 348.12 × 348.12
  4. Step 4: Simplify right side
    146.95x = 121,185.58
  5. Step 5: Solve for x
    x = 121,185.58/146.95
  6. Step 6: Final answer
    x = 824.65

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.