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Finding the Third Proportional to 319.57 and 403.42

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Solution

The third proportional to 319.57 and 403.42 is: 509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.57 : 403.42 = 403.42 : x
  2. Step 2: Convert to fraction form
    319.57/403.42 = 403.42/x
  3. Step 3: Cross multiply
    319.57x = 403.42 × 403.42
  4. Step 4: Simplify right side
    319.57x = 162,746.06
  5. Step 5: Solve for x
    x = 162,746.06/319.57
  6. Step 6: Final answer
    x = 509.27

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.