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Finding the Third Proportional to 184,466 and 284,889

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Solution

The third proportional to 184,466 and 284,889 is: 439,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,466 : 284,889 = 284,889 : x
  2. Step 2: Convert to fraction form
    184,466/284,889 = 284,889/x
  3. Step 3: Cross multiply
    184,466x = 284,889 × 284,889
  4. Step 4: Simplify right side
    184,466x = 81,161,742,321
  5. Step 5: Solve for x
    x = 81,161,742,321/184,466
  6. Step 6: Final answer
    x = 439,982.12

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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.