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Finding the Third Proportional to 143,919 and 201,309.75

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Solution

The third proportional to 143,919 and 201,309.75 is: 281,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,919 : 201,309.75 = 201,309.75 : x
  2. Step 2: Convert to fraction form
    143,919/201,309.75 = 201,309.75/x
  3. Step 3: Cross multiply
    143,919x = 201,309.75 × 201,309.75
  4. Step 4: Simplify right side
    143,919x = 40,525,615,445.06
  5. Step 5: Solve for x
    x = 40,525,615,445.06/143,919
  6. Step 6: Final answer
    x = 281,586.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.