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Finding the Third Proportional to 204,075 and 306,896

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Solution

The third proportional to 204,075 and 306,896 is: 461,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,075 : 306,896 = 306,896 : x
  2. Step 2: Convert to fraction form
    204,075/306,896 = 306,896/x
  3. Step 3: Cross multiply
    204,075x = 306,896 × 306,896
  4. Step 4: Simplify right side
    204,075x = 94,185,154,816
  5. Step 5: Solve for x
    x = 94,185,154,816/204,075
  6. Step 6: Final answer
    x = 461,522.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.