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Finding the Third Proportional to 340.14 and 803.36

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Solution

The third proportional to 340.14 and 803.36 is: 1,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 803.36 = 803.36 : x
  2. Step 2: Convert to fraction form
    340.14/803.36 = 803.36/x
  3. Step 3: Cross multiply
    340.14x = 803.36 × 803.36
  4. Step 4: Simplify right side
    340.14x = 645,380.01
  5. Step 5: Solve for x
    x = 645,380.01/340.14
  6. Step 6: Final answer
    x = 1,897.41

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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.