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Finding the Third Proportional to 231,062.63 and 309,065.63

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Solution

The third proportional to 231,062.63 and 309,065.63 is: 413,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,062.63 : 309,065.63 = 309,065.63 : x
  2. Step 2: Convert to fraction form
    231,062.63/309,065.63 = 309,065.63/x
  3. Step 3: Cross multiply
    231,062.63x = 309,065.63 × 309,065.63
  4. Step 4: Simplify right side
    231,062.63x = 95,521,560,556.64
  5. Step 5: Solve for x
    x = 95,521,560,556.64/231,062.63
  6. Step 6: Final answer
    x = 413,401.17

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.