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Finding the Third Proportional to 208,360 and 311,169

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Solution

The third proportional to 208,360 and 311,169 is: 464,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,360 : 311,169 = 311,169 : x
  2. Step 2: Convert to fraction form
    208,360/311,169 = 311,169/x
  3. Step 3: Cross multiply
    208,360x = 311,169 × 311,169
  4. Step 4: Simplify right side
    208,360x = 96,826,146,561
  5. Step 5: Solve for x
    x = 96,826,146,561/208,360
  6. Step 6: Final answer
    x = 464,706.02

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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.