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Finding the Third Proportional to 293.53 and 464.81

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Solution

The third proportional to 293.53 and 464.81 is: 736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.53 : 464.81 = 464.81 : x
  2. Step 2: Convert to fraction form
    293.53/464.81 = 464.81/x
  3. Step 3: Cross multiply
    293.53x = 464.81 × 464.81
  4. Step 4: Simplify right side
    293.53x = 216,050.66
  5. Step 5: Solve for x
    x = 216,050.66/293.53
  6. Step 6: Final answer
    x = 736.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.