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Finding the Third Proportional to 143,048 and 314,752

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Solution

The third proportional to 143,048 and 314,752 is: 692,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,048 : 314,752 = 314,752 : x
  2. Step 2: Convert to fraction form
    143,048/314,752 = 314,752/x
  3. Step 3: Cross multiply
    143,048x = 314,752 × 314,752
  4. Step 4: Simplify right side
    143,048x = 99,068,821,504
  5. Step 5: Solve for x
    x = 99,068,821,504/143,048
  6. Step 6: Final answer
    x = 692,556.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.