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Finding the Third Proportional to 192,075.75 and 414,927

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Solution

The third proportional to 192,075.75 and 414,927 is: 896,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,075.75 : 414,927 = 414,927 : x
  2. Step 2: Convert to fraction form
    192,075.75/414,927 = 414,927/x
  3. Step 3: Cross multiply
    192,075.75x = 414,927 × 414,927
  4. Step 4: Simplify right side
    192,075.75x = 172,164,415,329
  5. Step 5: Solve for x
    x = 172,164,415,329/192,075.75
  6. Step 6: Final answer
    x = 896,336.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.