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Finding the Third Proportional to 184,823 and 402,816

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Solution

The third proportional to 184,823 and 402,816 is: 877,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,823 : 402,816 = 402,816 : x
  2. Step 2: Convert to fraction form
    184,823/402,816 = 402,816/x
  3. Step 3: Cross multiply
    184,823x = 402,816 × 402,816
  4. Step 4: Simplify right side
    184,823x = 162,260,729,856
  5. Step 5: Solve for x
    x = 162,260,729,856/184,823
  6. Step 6: Final answer
    x = 877,924.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.