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Finding the Third Proportional to 185.19 and 407.63

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Solution

The third proportional to 185.19 and 407.63 is: 897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.19 : 407.63 = 407.63 : x
  2. Step 2: Convert to fraction form
    185.19/407.63 = 407.63/x
  3. Step 3: Cross multiply
    185.19x = 407.63 × 407.63
  4. Step 4: Simplify right side
    185.19x = 166,158.14
  5. Step 5: Solve for x
    x = 166,158.14/185.19
  6. Step 6: Final answer
    x = 897.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.