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Finding the Third Proportional to 139,233 and 224,185.50

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Solution

The third proportional to 139,233 and 224,185.50 is: 360,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,233 : 224,185.50 = 224,185.50 : x
  2. Step 2: Convert to fraction form
    139,233/224,185.50 = 224,185.50/x
  3. Step 3: Cross multiply
    139,233x = 224,185.50 × 224,185.50
  4. Step 4: Simplify right side
    139,233x = 50,259,138,410.25
  5. Step 5: Solve for x
    x = 50,259,138,410.25/139,233
  6. Step 6: Final answer
    x = 360,971.45

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.