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Finding the Third Proportional to 183,471 and 280,676.50

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Solution

The third proportional to 183,471 and 280,676.50 is: 429,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,471 : 280,676.50 = 280,676.50 : x
  2. Step 2: Convert to fraction form
    183,471/280,676.50 = 280,676.50/x
  3. Step 3: Cross multiply
    183,471x = 280,676.50 × 280,676.50
  4. Step 4: Simplify right side
    183,471x = 78,779,297,652.25
  5. Step 5: Solve for x
    x = 78,779,297,652.25/183,471
  6. Step 6: Final answer
    x = 429,382.83

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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.