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Finding the Third Proportional to 253,183.50 and 549,834

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Solution

The third proportional to 253,183.50 and 549,834 is: 1,194,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,183.50 : 549,834 = 549,834 : x
  2. Step 2: Convert to fraction form
    253,183.50/549,834 = 549,834/x
  3. Step 3: Cross multiply
    253,183.50x = 549,834 × 549,834
  4. Step 4: Simplify right side
    253,183.50x = 302,317,427,556
  5. Step 5: Solve for x
    x = 302,317,427,556/253,183.50
  6. Step 6: Final answer
    x = 1,194,064.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.