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Finding the Third Proportional to 327.19 and 430.03

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Solution

The third proportional to 327.19 and 430.03 is: 565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.19 : 430.03 = 430.03 : x
  2. Step 2: Convert to fraction form
    327.19/430.03 = 430.03/x
  3. Step 3: Cross multiply
    327.19x = 430.03 × 430.03
  4. Step 4: Simplify right side
    327.19x = 184,926.88
  5. Step 5: Solve for x
    x = 184,926.88/327.19
  6. Step 6: Final answer
    x = 565.20

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.