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Finding the Third Proportional to 208,093.50 and 311,569.50

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Solution

The third proportional to 208,093.50 and 311,569.50 is: 466,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,093.50 : 311,569.50 = 311,569.50 : x
  2. Step 2: Convert to fraction form
    208,093.50/311,569.50 = 311,569.50/x
  3. Step 3: Cross multiply
    208,093.50x = 311,569.50 × 311,569.50
  4. Step 4: Simplify right side
    208,093.50x = 97,075,553,330.25
  5. Step 5: Solve for x
    x = 97,075,553,330.25/208,093.50
  6. Step 6: Final answer
    x = 466,499.69

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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.