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Finding the Third Proportional to 143,506 and 196,995

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Solution

The third proportional to 143,506 and 196,995 is: 270,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,506 : 196,995 = 196,995 : x
  2. Step 2: Convert to fraction form
    143,506/196,995 = 196,995/x
  3. Step 3: Cross multiply
    143,506x = 196,995 × 196,995
  4. Step 4: Simplify right side
    143,506x = 38,807,030,025
  5. Step 5: Solve for x
    x = 38,807,030,025/143,506
  6. Step 6: Final answer
    x = 270,420.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.