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Finding the Third Proportional to 146.13 and 312.63

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Solution

The third proportional to 146.13 and 312.63 is: 668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.13 : 312.63 = 312.63 : x
  2. Step 2: Convert to fraction form
    146.13/312.63 = 312.63/x
  3. Step 3: Cross multiply
    146.13x = 312.63 × 312.63
  4. Step 4: Simplify right side
    146.13x = 97,734.39
  5. Step 5: Solve for x
    x = 97,734.39/146.13
  6. Step 6: Final answer
    x = 668.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.