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Finding the Third Proportional to 208,366.50 and 311,176.50

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Solution

The third proportional to 208,366.50 and 311,176.50 is: 464,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,366.50 : 311,176.50 = 311,176.50 : x
  2. Step 2: Convert to fraction form
    208,366.50/311,176.50 = 311,176.50/x
  3. Step 3: Cross multiply
    208,366.50x = 311,176.50 × 311,176.50
  4. Step 4: Simplify right side
    208,366.50x = 96,830,814,152.25
  5. Step 5: Solve for x
    x = 96,830,814,152.25/208,366.50
  6. Step 6: Final answer
    x = 464,713.93

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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.