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Finding the Third Proportional to 184,233 and 390,612

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Solution

The third proportional to 184,233 and 390,612 is: 828,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,233 : 390,612 = 390,612 : x
  2. Step 2: Convert to fraction form
    184,233/390,612 = 390,612/x
  3. Step 3: Cross multiply
    184,233x = 390,612 × 390,612
  4. Step 4: Simplify right side
    184,233x = 152,577,734,544
  5. Step 5: Solve for x
    x = 152,577,734,544/184,233
  6. Step 6: Final answer
    x = 828,178.09

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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.