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Finding the Third Proportional to 183,377.25 and 280,514.81

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Solution

The third proportional to 183,377.25 and 280,514.81 is: 429,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,377.25 : 280,514.81 = 280,514.81 : x
  2. Step 2: Convert to fraction form
    183,377.25/280,514.81 = 280,514.81/x
  3. Step 3: Cross multiply
    183,377.25x = 280,514.81 × 280,514.81
  4. Step 4: Simplify right side
    183,377.25x = 78,688,560,031.91
  5. Step 5: Solve for x
    x = 78,688,560,031.91/183,377.25
  6. Step 6: Final answer
    x = 429,107.54

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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.