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Finding the Third Proportional to 208,848 and 312,360

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Solution

The third proportional to 208,848 and 312,360 is: 467,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,848 : 312,360 = 312,360 : x
  2. Step 2: Convert to fraction form
    208,848/312,360 = 312,360/x
  3. Step 3: Cross multiply
    208,848x = 312,360 × 312,360
  4. Step 4: Simplify right side
    208,848x = 97,568,769,600
  5. Step 5: Solve for x
    x = 97,568,769,600/208,848
  6. Step 6: Final answer
    x = 467,175.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.