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Finding the Third Proportional to 147,466.50 and 222,408

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Solution

The third proportional to 147,466.50 and 222,408 is: 335,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,466.50 : 222,408 = 222,408 : x
  2. Step 2: Convert to fraction form
    147,466.50/222,408 = 222,408/x
  3. Step 3: Cross multiply
    147,466.50x = 222,408 × 222,408
  4. Step 4: Simplify right side
    147,466.50x = 49,465,318,464
  5. Step 5: Solve for x
    x = 49,465,318,464/147,466.50
  6. Step 6: Final answer
    x = 335,434.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.