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Finding the Third Proportional to 184,209 and 284,454

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Solution

The third proportional to 184,209 and 284,454 is: 439,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,209 : 284,454 = 284,454 : x
  2. Step 2: Convert to fraction form
    184,209/284,454 = 284,454/x
  3. Step 3: Cross multiply
    184,209x = 284,454 × 284,454
  4. Step 4: Simplify right side
    184,209x = 80,914,078,116
  5. Step 5: Solve for x
    x = 80,914,078,116/184,209
  6. Step 6: Final answer
    x = 439,251.49

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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.