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Finding the Third Proportional to 184,802 and 286,035

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Solution

The third proportional to 184,802 and 286,035 is: 442,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,802 : 286,035 = 286,035 : x
  2. Step 2: Convert to fraction form
    184,802/286,035 = 286,035/x
  3. Step 3: Cross multiply
    184,802x = 286,035 × 286,035
  4. Step 4: Simplify right side
    184,802x = 81,816,021,225
  5. Step 5: Solve for x
    x = 81,816,021,225/184,802
  6. Step 6: Final answer
    x = 442,722.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.