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Finding the Third Proportional to 208,272 and 311,512.50

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Solution

The third proportional to 208,272 and 311,512.50 is: 465,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,272 : 311,512.50 = 311,512.50 : x
  2. Step 2: Convert to fraction form
    208,272/311,512.50 = 311,512.50/x
  3. Step 3: Cross multiply
    208,272x = 311,512.50 × 311,512.50
  4. Step 4: Simplify right side
    208,272x = 97,040,037,656.25
  5. Step 5: Solve for x
    x = 97,040,037,656.25/208,272
  6. Step 6: Final answer
    x = 465,929.35

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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.