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Finding the Third Proportional to 130,997.25 and 197,599.50

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Solution

The third proportional to 130,997.25 and 197,599.50 is: 298,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,997.25 : 197,599.50 = 197,599.50 : x
  2. Step 2: Convert to fraction form
    130,997.25/197,599.50 = 197,599.50/x
  3. Step 3: Cross multiply
    130,997.25x = 197,599.50 × 197,599.50
  4. Step 4: Simplify right side
    130,997.25x = 39,045,562,400.25
  5. Step 5: Solve for x
    x = 39,045,562,400.25/130,997.25
  6. Step 6: Final answer
    x = 298,063.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.