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Finding the Third Proportional to 180.98 and 427.15

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Solution

The third proportional to 180.98 and 427.15 is: 1,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.98 : 427.15 = 427.15 : x
  2. Step 2: Convert to fraction form
    180.98/427.15 = 427.15/x
  3. Step 3: Cross multiply
    180.98x = 427.15 × 427.15
  4. Step 4: Simplify right side
    180.98x = 182,455.79
  5. Step 5: Solve for x
    x = 182,455.79/180.98
  6. Step 6: Final answer
    x = 1,008.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.