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Finding the Third Proportional to 185,823 and 280,476

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Solution

The third proportional to 185,823 and 280,476 is: 423,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,823 : 280,476 = 280,476 : x
  2. Step 2: Convert to fraction form
    185,823/280,476 = 280,476/x
  3. Step 3: Cross multiply
    185,823x = 280,476 × 280,476
  4. Step 4: Simplify right side
    185,823x = 78,666,786,576
  5. Step 5: Solve for x
    x = 78,666,786,576/185,823
  6. Step 6: Final answer
    x = 423,342.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.