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Finding the Third Proportional to 131,022 and 307,993.50

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Solution

The third proportional to 131,022 and 307,993.50 is: 724,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,022 : 307,993.50 = 307,993.50 : x
  2. Step 2: Convert to fraction form
    131,022/307,993.50 = 307,993.50/x
  3. Step 3: Cross multiply
    131,022x = 307,993.50 × 307,993.50
  4. Step 4: Simplify right side
    131,022x = 94,859,996,042.25
  5. Step 5: Solve for x
    x = 94,859,996,042.25/131,022
  6. Step 6: Final answer
    x = 724,000.52

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.