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Finding the Third Proportional to 143,433 and 312,200

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Solution

The third proportional to 143,433 and 312,200 is: 679,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,433 : 312,200 = 312,200 : x
  2. Step 2: Convert to fraction form
    143,433/312,200 = 312,200/x
  3. Step 3: Cross multiply
    143,433x = 312,200 × 312,200
  4. Step 4: Simplify right side
    143,433x = 97,468,840,000
  5. Step 5: Solve for x
    x = 97,468,840,000/143,433
  6. Step 6: Final answer
    x = 679,542.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.