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Finding the Third Proportional to 184,618 and 276,620

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Solution

The third proportional to 184,618 and 276,620 is: 414,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,618 : 276,620 = 276,620 : x
  2. Step 2: Convert to fraction form
    184,618/276,620 = 276,620/x
  3. Step 3: Cross multiply
    184,618x = 276,620 × 276,620
  4. Step 4: Simplify right side
    184,618x = 76,518,624,400
  5. Step 5: Solve for x
    x = 76,518,624,400/184,618
  6. Step 6: Final answer
    x = 414,470.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.