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Finding the Third Proportional to 184,560 and 390,990

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Solution

The third proportional to 184,560 and 390,990 is: 828,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,560 : 390,990 = 390,990 : x
  2. Step 2: Convert to fraction form
    184,560/390,990 = 390,990/x
  3. Step 3: Cross multiply
    184,560x = 390,990 × 390,990
  4. Step 4: Simplify right side
    184,560x = 152,873,180,100
  5. Step 5: Solve for x
    x = 152,873,180,100/184,560
  6. Step 6: Final answer
    x = 828,311.55

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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.