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Finding the Third Proportional to 143,268 and 313,752

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Solution

The third proportional to 143,268 and 313,752 is: 687,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,268 : 313,752 = 313,752 : x
  2. Step 2: Convert to fraction form
    143,268/313,752 = 313,752/x
  3. Step 3: Cross multiply
    143,268x = 313,752 × 313,752
  4. Step 4: Simplify right side
    143,268x = 98,440,317,504
  5. Step 5: Solve for x
    x = 98,440,317,504/143,268
  6. Step 6: Final answer
    x = 687,106.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.