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Finding the Third Proportional to 145.55 and 324.42

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Solution

The third proportional to 145.55 and 324.42 is: 723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.55 : 324.42 = 324.42 : x
  2. Step 2: Convert to fraction form
    145.55/324.42 = 324.42/x
  3. Step 3: Cross multiply
    145.55x = 324.42 × 324.42
  4. Step 4: Simplify right side
    145.55x = 105,249.55
  5. Step 5: Solve for x
    x = 105,249.55/145.55
  6. Step 6: Final answer
    x = 723.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.