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Finding the Third Proportional to 207,360 and 311,202

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Solution

The third proportional to 207,360 and 311,202 is: 467,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,360 : 311,202 = 311,202 : x
  2. Step 2: Convert to fraction form
    207,360/311,202 = 311,202/x
  3. Step 3: Cross multiply
    207,360x = 311,202 × 311,202
  4. Step 4: Simplify right side
    207,360x = 96,846,684,804
  5. Step 5: Solve for x
    x = 96,846,684,804/207,360
  6. Step 6: Final answer
    x = 467,046.13

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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.