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Finding the Third Proportional to 143,595.75 and 201,225.56

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Solution

The third proportional to 143,595.75 and 201,225.56 is: 281,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,595.75 : 201,225.56 = 201,225.56 : x
  2. Step 2: Convert to fraction form
    143,595.75/201,225.56 = 201,225.56/x
  3. Step 3: Cross multiply
    143,595.75x = 201,225.56 × 201,225.56
  4. Step 4: Simplify right side
    143,595.75x = 40,491,727,003.44
  5. Step 5: Solve for x
    x = 40,491,727,003.44/143,595.75
  6. Step 6: Final answer
    x = 281,984.16

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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.