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Finding the Third Proportional to 125,401.50 and 196,425

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Solution

The third proportional to 125,401.50 and 196,425 is: 307,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,401.50 : 196,425 = 196,425 : x
  2. Step 2: Convert to fraction form
    125,401.50/196,425 = 196,425/x
  3. Step 3: Cross multiply
    125,401.50x = 196,425 × 196,425
  4. Step 4: Simplify right side
    125,401.50x = 38,582,780,625
  5. Step 5: Solve for x
    x = 38,582,780,625/125,401.50
  6. Step 6: Final answer
    x = 307,674.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.