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Finding the Third Proportional to 194,767.88 and 304,453.69

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Solution

The third proportional to 194,767.88 and 304,453.69 is: 475,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,767.88 : 304,453.69 = 304,453.69 : x
  2. Step 2: Convert to fraction form
    194,767.88/304,453.69 = 304,453.69/x
  3. Step 3: Cross multiply
    194,767.88x = 304,453.69 × 304,453.69
  4. Step 4: Simplify right side
    194,767.88x = 92,692,047,832.35
  5. Step 5: Solve for x
    x = 92,692,047,832.35/194,767.88
  6. Step 6: Final answer
    x = 475,910.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.