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Finding the Third Proportional to 184,245.75 and 390,633.75

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Solution

The third proportional to 184,245.75 and 390,633.75 is: 828,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,245.75 : 390,633.75 = 390,633.75 : x
  2. Step 2: Convert to fraction form
    184,245.75/390,633.75 = 390,633.75/x
  3. Step 3: Cross multiply
    184,245.75x = 390,633.75 × 390,633.75
  4. Step 4: Simplify right side
    184,245.75x = 152,594,726,639.06
  5. Step 5: Solve for x
    x = 152,594,726,639.06/184,245.75
  6. Step 6: Final answer
    x = 828,213.01

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Why These Related Problems?

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