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Finding the Third Proportional to 184,226 and 284,480

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Solution

The third proportional to 184,226 and 284,480 is: 439,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,226 : 284,480 = 284,480 : x
  2. Step 2: Convert to fraction form
    184,226/284,480 = 284,480/x
  3. Step 3: Cross multiply
    184,226x = 284,480 × 284,480
  4. Step 4: Simplify right side
    184,226x = 80,928,870,400
  5. Step 5: Solve for x
    x = 80,928,870,400/184,226
  6. Step 6: Final answer
    x = 439,291.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.