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Finding the Third Proportional to 184,225 and 284,475

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Solution

The third proportional to 184,225 and 284,475 is: 439,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,225 : 284,475 = 284,475 : x
  2. Step 2: Convert to fraction form
    184,225/284,475 = 284,475/x
  3. Step 3: Cross multiply
    184,225x = 284,475 × 284,475
  4. Step 4: Simplify right side
    184,225x = 80,926,025,625
  5. Step 5: Solve for x
    x = 80,926,025,625/184,225
  6. Step 6: Final answer
    x = 439,278.20

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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.