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Finding the Third Proportional to 222,075 and 316,504.69

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Solution

The third proportional to 222,075 and 316,504.69 is: 451,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,075 : 316,504.69 = 316,504.69 : x
  2. Step 2: Convert to fraction form
    222,075/316,504.69 = 316,504.69/x
  3. Step 3: Cross multiply
    222,075x = 316,504.69 × 316,504.69
  4. Step 4: Simplify right side
    222,075x = 100,175,217,209.47
  5. Step 5: Solve for x
    x = 100,175,217,209.47/222,075
  6. Step 6: Final answer
    x = 451,087.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.