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Finding the Third Proportional to 184,080 and 443,341

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Solution

The third proportional to 184,080 and 443,341 is: 1,067,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,080 : 443,341 = 443,341 : x
  2. Step 2: Convert to fraction form
    184,080/443,341 = 443,341/x
  3. Step 3: Cross multiply
    184,080x = 443,341 × 443,341
  4. Step 4: Simplify right side
    184,080x = 196,551,242,281
  5. Step 5: Solve for x
    x = 196,551,242,281/184,080
  6. Step 6: Final answer
    x = 1,067,749.03

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.