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Finding the Third Proportional to 147,426.75 and 222,358.50

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Solution

The third proportional to 147,426.75 and 222,358.50 is: 335,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,426.75 : 222,358.50 = 222,358.50 : x
  2. Step 2: Convert to fraction form
    147,426.75/222,358.50 = 222,358.50/x
  3. Step 3: Cross multiply
    147,426.75x = 222,358.50 × 222,358.50
  4. Step 4: Simplify right side
    147,426.75x = 49,443,302,522.25
  5. Step 5: Solve for x
    x = 49,443,302,522.25/147,426.75
  6. Step 6: Final answer
    x = 335,375.38

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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.