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Finding the Third Proportional to 194.47 and 307.94

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Solution

The third proportional to 194.47 and 307.94 is: 487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.47 : 307.94 = 307.94 : x
  2. Step 2: Convert to fraction form
    194.47/307.94 = 307.94/x
  3. Step 3: Cross multiply
    194.47x = 307.94 × 307.94
  4. Step 4: Simplify right side
    194.47x = 94,825.50
  5. Step 5: Solve for x
    x = 94,825.50/194.47
  6. Step 6: Final answer
    x = 487.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.