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Finding the Third Proportional to 111,370 and 233,675

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Solution

The third proportional to 111,370 and 233,675 is: 490,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,370 : 233,675 = 233,675 : x
  2. Step 2: Convert to fraction form
    111,370/233,675 = 233,675/x
  3. Step 3: Cross multiply
    111,370x = 233,675 × 233,675
  4. Step 4: Simplify right side
    111,370x = 54,604,005,625
  5. Step 5: Solve for x
    x = 54,604,005,625/111,370
  6. Step 6: Final answer
    x = 490,293.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.