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Finding the Third Proportional to 348.10 and 464.01

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Solution

The third proportional to 348.10 and 464.01 is: 618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.10 : 464.01 = 464.01 : x
  2. Step 2: Convert to fraction form
    348.10/464.01 = 464.01/x
  3. Step 3: Cross multiply
    348.10x = 464.01 × 464.01
  4. Step 4: Simplify right side
    348.10x = 215,305.06
  5. Step 5: Solve for x
    x = 215,305.06/348.10
  6. Step 6: Final answer
    x = 618.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.