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Finding the Third Proportional to 149,466 and 222,069.75

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Solution

The third proportional to 149,466 and 222,069.75 is: 329,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,466 : 222,069.75 = 222,069.75 : x
  2. Step 2: Convert to fraction form
    149,466/222,069.75 = 222,069.75/x
  3. Step 3: Cross multiply
    149,466x = 222,069.75 × 222,069.75
  4. Step 4: Simplify right side
    149,466x = 49,314,973,865.06
  5. Step 5: Solve for x
    x = 49,314,973,865.06/149,466
  6. Step 6: Final answer
    x = 329,941.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.