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Finding the Third Proportional to 194,551.88 and 300,459.38

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Solution

The third proportional to 194,551.88 and 300,459.38 is: 464,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,551.88 : 300,459.38 = 300,459.38 : x
  2. Step 2: Convert to fraction form
    194,551.88/300,459.38 = 300,459.38/x
  3. Step 3: Cross multiply
    194,551.88x = 300,459.38 × 300,459.38
  4. Step 4: Simplify right side
    194,551.88x = 90,275,836,025.39
  5. Step 5: Solve for x
    x = 90,275,836,025.39/194,551.88
  6. Step 6: Final answer
    x = 464,019.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.