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Finding the Third Proportional to 184.08 and 416.04

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Solution

The third proportional to 184.08 and 416.04 is: 940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.08 : 416.04 = 416.04 : x
  2. Step 2: Convert to fraction form
    184.08/416.04 = 416.04/x
  3. Step 3: Cross multiply
    184.08x = 416.04 × 416.04
  4. Step 4: Simplify right side
    184.08x = 173,088.50
  5. Step 5: Solve for x
    x = 173,088.50/184.08
  6. Step 6: Final answer
    x = 940.30

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.