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Finding the Third Proportional to 207,450 and 313,083

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Solution

The third proportional to 207,450 and 313,083 is: 472,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,450 : 313,083 = 313,083 : x
  2. Step 2: Convert to fraction form
    207,450/313,083 = 313,083/x
  3. Step 3: Cross multiply
    207,450x = 313,083 × 313,083
  4. Step 4: Simplify right side
    207,450x = 98,020,964,889
  5. Step 5: Solve for x
    x = 98,020,964,889/207,450
  6. Step 6: Final answer
    x = 472,504.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.