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Finding the Third Proportional to 346.78 and 815.06

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Solution

The third proportional to 346.78 and 815.06 is: 1,915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 815.06 = 815.06 : x
  2. Step 2: Convert to fraction form
    346.78/815.06 = 815.06/x
  3. Step 3: Cross multiply
    346.78x = 815.06 × 815.06
  4. Step 4: Simplify right side
    346.78x = 664,326.88
  5. Step 5: Solve for x
    x = 664,326.88/346.78
  6. Step 6: Final answer
    x = 1,915.69

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.