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Finding the Third Proportional to 183,692 and 280,971

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Solution

The third proportional to 183,692 and 280,971 is: 429,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,692 : 280,971 = 280,971 : x
  2. Step 2: Convert to fraction form
    183,692/280,971 = 280,971/x
  3. Step 3: Cross multiply
    183,692x = 280,971 × 280,971
  4. Step 4: Simplify right side
    183,692x = 78,944,702,841
  5. Step 5: Solve for x
    x = 78,944,702,841/183,692
  6. Step 6: Final answer
    x = 429,766.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.