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Finding the Third Proportional to 340.14 and 737.23

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Solution

The third proportional to 340.14 and 737.23 is: 1,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 737.23 = 737.23 : x
  2. Step 2: Convert to fraction form
    340.14/737.23 = 737.23/x
  3. Step 3: Cross multiply
    340.14x = 737.23 × 737.23
  4. Step 4: Simplify right side
    340.14x = 543,503.00
  5. Step 5: Solve for x
    x = 543,503.00/340.14
  6. Step 6: Final answer
    x = 1,597.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.