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Finding the Third Proportional to 120,931.88 and 282,395.25

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Solution

The third proportional to 120,931.88 and 282,395.25 is: 659,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,931.88 : 282,395.25 = 282,395.25 : x
  2. Step 2: Convert to fraction form
    120,931.88/282,395.25 = 282,395.25/x
  3. Step 3: Cross multiply
    120,931.88x = 282,395.25 × 282,395.25
  4. Step 4: Simplify right side
    120,931.88x = 79,747,077,222.56
  5. Step 5: Solve for x
    x = 79,747,077,222.56/120,931.88
  6. Step 6: Final answer
    x = 659,438.03

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.