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Finding the Third Proportional to 184,249.50 and 390,642.50

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Solution

The third proportional to 184,249.50 and 390,642.50 is: 828,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,249.50 : 390,642.50 = 390,642.50 : x
  2. Step 2: Convert to fraction form
    184,249.50/390,642.50 = 390,642.50/x
  3. Step 3: Cross multiply
    184,249.50x = 390,642.50 × 390,642.50
  4. Step 4: Simplify right side
    184,249.50x = 152,601,562,806.25
  5. Step 5: Solve for x
    x = 152,601,562,806.25/184,249.50
  6. Step 6: Final answer
    x = 828,233.25

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.