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Finding the Third Proportional to 345.94 and 815.91

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Solution

The third proportional to 345.94 and 815.91 is: 1,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.94 : 815.91 = 815.91 : x
  2. Step 2: Convert to fraction form
    345.94/815.91 = 815.91/x
  3. Step 3: Cross multiply
    345.94x = 815.91 × 815.91
  4. Step 4: Simplify right side
    345.94x = 665,703.01
  5. Step 5: Solve for x
    x = 665,703.01/345.94
  6. Step 6: Final answer
    x = 1,924.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.