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Finding the Third Proportional to 348.05 and 750.80

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Solution

The third proportional to 348.05 and 750.80 is: 1,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.05 : 750.80 = 750.80 : x
  2. Step 2: Convert to fraction form
    348.05/750.80 = 750.80/x
  3. Step 3: Cross multiply
    348.05x = 750.80 × 750.80
  4. Step 4: Simplify right side
    348.05x = 563,695.95
  5. Step 5: Solve for x
    x = 563,695.95/348.05
  6. Step 6: Final answer
    x = 1,619.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.