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Finding the Third Proportional to 120,535.50 and 230,131.50

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Solution

The third proportional to 120,535.50 and 230,131.50 is: 439,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,535.50 : 230,131.50 = 230,131.50 : x
  2. Step 2: Convert to fraction form
    120,535.50/230,131.50 = 230,131.50/x
  3. Step 3: Cross multiply
    120,535.50x = 230,131.50 × 230,131.50
  4. Step 4: Simplify right side
    120,535.50x = 52,960,507,292.25
  5. Step 5: Solve for x
    x = 52,960,507,292.25/120,535.50
  6. Step 6: Final answer
    x = 439,376.84

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.