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Finding the Third Proportional to 293.06 and 441.84

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Solution

The third proportional to 293.06 and 441.84 is: 666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.06 : 441.84 = 441.84 : x
  2. Step 2: Convert to fraction form
    293.06/441.84 = 441.84/x
  3. Step 3: Cross multiply
    293.06x = 441.84 × 441.84
  4. Step 4: Simplify right side
    293.06x = 195,225.90
  5. Step 5: Solve for x
    x = 195,225.90/293.06
  6. Step 6: Final answer
    x = 666.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.