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Finding the Third Proportional to 208,576 and 323,112

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Solution

The third proportional to 208,576 and 323,112 is: 500,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,576 : 323,112 = 323,112 : x
  2. Step 2: Convert to fraction form
    208,576/323,112 = 323,112/x
  3. Step 3: Cross multiply
    208,576x = 323,112 × 323,112
  4. Step 4: Simplify right side
    208,576x = 104,401,364,544
  5. Step 5: Solve for x
    x = 104,401,364,544/208,576
  6. Step 6: Final answer
    x = 500,543.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.