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Finding the Third Proportional to 145.23 and 213.57

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Solution

The third proportional to 145.23 and 213.57 is: 314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.23 : 213.57 = 213.57 : x
  2. Step 2: Convert to fraction form
    145.23/213.57 = 213.57/x
  3. Step 3: Cross multiply
    145.23x = 213.57 × 213.57
  4. Step 4: Simplify right side
    145.23x = 45,613.95
  5. Step 5: Solve for x
    x = 45,613.95/145.23
  6. Step 6: Final answer
    x = 314.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.