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Finding the Third Proportional to 143,674 and 314,100

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Solution

The third proportional to 143,674 and 314,100 is: 686,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,674 : 314,100 = 314,100 : x
  2. Step 2: Convert to fraction form
    143,674/314,100 = 314,100/x
  3. Step 3: Cross multiply
    143,674x = 314,100 × 314,100
  4. Step 4: Simplify right side
    143,674x = 98,658,810,000
  5. Step 5: Solve for x
    x = 98,658,810,000/143,674
  6. Step 6: Final answer
    x = 686,685.20

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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.