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Finding the Third Proportional to 193.01 and 307.23

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Solution

The third proportional to 193.01 and 307.23 is: 489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.01 : 307.23 = 307.23 : x
  2. Step 2: Convert to fraction form
    193.01/307.23 = 307.23/x
  3. Step 3: Cross multiply
    193.01x = 307.23 × 307.23
  4. Step 4: Simplify right side
    193.01x = 94,390.56
  5. Step 5: Solve for x
    x = 94,390.56/193.01
  6. Step 6: Final answer
    x = 489.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.