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Finding the Third Proportional to 184,210 and 284,455

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Solution

The third proportional to 184,210 and 284,455 is: 439,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,210 : 284,455 = 284,455 : x
  2. Step 2: Convert to fraction form
    184,210/284,455 = 284,455/x
  3. Step 3: Cross multiply
    184,210x = 284,455 × 284,455
  4. Step 4: Simplify right side
    184,210x = 80,914,647,025
  5. Step 5: Solve for x
    x = 80,914,647,025/184,210
  6. Step 6: Final answer
    x = 439,252.20

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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.