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Finding the Third Proportional to 116,583.75 and 243,723.38

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Solution

The third proportional to 116,583.75 and 243,723.38 is: 509,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,583.75 : 243,723.38 = 243,723.38 : x
  2. Step 2: Convert to fraction form
    116,583.75/243,723.38 = 243,723.38/x
  3. Step 3: Cross multiply
    116,583.75x = 243,723.38 × 243,723.38
  4. Step 4: Simplify right side
    116,583.75x = 59,401,083,521.39
  5. Step 5: Solve for x
    x = 59,401,083,521.39/116,583.75
  6. Step 6: Final answer
    x = 509,514.26

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.