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Finding the Third Proportional to 194,063.25 and 294,377.63

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Solution

The third proportional to 194,063.25 and 294,377.63 is: 446,546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,063.25 : 294,377.63 = 294,377.63 : x
  2. Step 2: Convert to fraction form
    194,063.25/294,377.63 = 294,377.63/x
  3. Step 3: Cross multiply
    194,063.25x = 294,377.63 × 294,377.63
  4. Step 4: Simplify right side
    194,063.25x = 86,658,186,100.64
  5. Step 5: Solve for x
    x = 86,658,186,100.64/194,063.25
  6. Step 6: Final answer
    x = 446,546.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.