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Finding the Third Proportional to 184,140 and 284,346

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Solution

The third proportional to 184,140 and 284,346 is: 439,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,140 : 284,346 = 284,346 : x
  2. Step 2: Convert to fraction form
    184,140/284,346 = 284,346/x
  3. Step 3: Cross multiply
    184,140x = 284,346 × 284,346
  4. Step 4: Simplify right side
    184,140x = 80,852,647,716
  5. Step 5: Solve for x
    x = 80,852,647,716/184,140
  6. Step 6: Final answer
    x = 439,082.48

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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.