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Finding the Third Proportional to 184,421 and 284,819

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Solution

The third proportional to 184,421 and 284,819 is: 439,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,421 : 284,819 = 284,819 : x
  2. Step 2: Convert to fraction form
    184,421/284,819 = 284,819/x
  3. Step 3: Cross multiply
    184,421x = 284,819 × 284,819
  4. Step 4: Simplify right side
    184,421x = 81,121,862,761
  5. Step 5: Solve for x
    x = 81,121,862,761/184,421
  6. Step 6: Final answer
    x = 439,873.24

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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.