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Finding the Third Proportional to 143,022 and 314,050

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Solution

The third proportional to 143,022 and 314,050 is: 689,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,022 : 314,050 = 314,050 : x
  2. Step 2: Convert to fraction form
    143,022/314,050 = 314,050/x
  3. Step 3: Cross multiply
    143,022x = 314,050 × 314,050
  4. Step 4: Simplify right side
    143,022x = 98,627,402,500
  5. Step 5: Solve for x
    x = 98,627,402,500/143,022
  6. Step 6: Final answer
    x = 689,596.02

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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.