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Finding the Third Proportional to 137,075.44 and 305,668.03

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Solution

The third proportional to 137,075.44 and 305,668.03 is: 681,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,075.44 : 305,668.03 = 305,668.03 : x
  2. Step 2: Convert to fraction form
    137,075.44/305,668.03 = 305,668.03/x
  3. Step 3: Cross multiply
    137,075.44x = 305,668.03 × 305,668.03
  4. Step 4: Simplify right side
    137,075.44x = 93,432,945,328.25
  5. Step 5: Solve for x
    x = 93,432,945,328.25/137,075.44
  6. Step 6: Final answer
    x = 681,616.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.