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Finding the Third Proportional to 78,401.25 and 171,814.50

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Solution

The third proportional to 78,401.25 and 171,814.50 is: 376,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,401.25 : 171,814.50 = 171,814.50 : x
  2. Step 2: Convert to fraction form
    78,401.25/171,814.50 = 171,814.50/x
  3. Step 3: Cross multiply
    78,401.25x = 171,814.50 × 171,814.50
  4. Step 4: Simplify right side
    78,401.25x = 29,520,222,410.25
  5. Step 5: Solve for x
    x = 29,520,222,410.25/78,401.25
  6. Step 6: Final answer
    x = 376,527.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.