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Finding the Third Proportional to 113,145 and 223,435

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Solution

The third proportional to 113,145 and 223,435 is: 441,232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,145 : 223,435 = 223,435 : x
  2. Step 2: Convert to fraction form
    113,145/223,435 = 223,435/x
  3. Step 3: Cross multiply
    113,145x = 223,435 × 223,435
  4. Step 4: Simplify right side
    113,145x = 49,923,199,225
  5. Step 5: Solve for x
    x = 49,923,199,225/113,145
  6. Step 6: Final answer
    x = 441,232.04

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.