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Finding the Third Proportional to 208,359.75 and 311,166.75

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Solution

The third proportional to 208,359.75 and 311,166.75 is: 464,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,359.75 : 311,166.75 = 311,166.75 : x
  2. Step 2: Convert to fraction form
    208,359.75/311,166.75 = 311,166.75/x
  3. Step 3: Cross multiply
    208,359.75x = 311,166.75 × 311,166.75
  4. Step 4: Simplify right side
    208,359.75x = 96,824,746,305.56
  5. Step 5: Solve for x
    x = 96,824,746,305.56/208,359.75
  6. Step 6: Final answer
    x = 464,699.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.