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Finding the Third Proportional to 194.63 and 512.06

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Solution

The third proportional to 194.63 and 512.06 is: 1,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.63 : 512.06 = 512.06 : x
  2. Step 2: Convert to fraction form
    194.63/512.06 = 512.06/x
  3. Step 3: Cross multiply
    194.63x = 512.06 × 512.06
  4. Step 4: Simplify right side
    194.63x = 262,208.00
  5. Step 5: Solve for x
    x = 262,208.00/194.63
  6. Step 6: Final answer
    x = 1,347.25

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.