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Finding the Third Proportional to 183.33 and 407.16

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Solution

The third proportional to 183.33 and 407.16 is: 904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.33 : 407.16 = 407.16 : x
  2. Step 2: Convert to fraction form
    183.33/407.16 = 407.16/x
  3. Step 3: Cross multiply
    183.33x = 407.16 × 407.16
  4. Step 4: Simplify right side
    183.33x = 165,776.21
  5. Step 5: Solve for x
    x = 165,776.21/183.33
  6. Step 6: Final answer
    x = 904.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.