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Finding the Third Proportional to 348 and 946.88

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Solution

The third proportional to 348 and 946.88 is: 2,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    348 : 946.88 = 946.88 : x
  2. Step 2: Convert to fraction form
    348/946.88 = 946.88/x
  3. Step 3: Cross multiply
    348x = 946.88 × 946.88
  4. Step 4: Simplify right side
    348x = 896,572.27
  5. Step 5: Solve for x
    x = 896,572.27/348
  6. Step 6: Final answer
    x = 2,576.36

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.