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Finding the Third Proportional to 153,093 and 336,075

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Solution

The third proportional to 153,093 and 336,075 is: 737,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,093 : 336,075 = 336,075 : x
  2. Step 2: Convert to fraction form
    153,093/336,075 = 336,075/x
  3. Step 3: Cross multiply
    153,093x = 336,075 × 336,075
  4. Step 4: Simplify right side
    153,093x = 112,946,405,625
  5. Step 5: Solve for x
    x = 112,946,405,625/153,093
  6. Step 6: Final answer
    x = 737,763.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.