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Finding the Third Proportional to 207,041 and 293,025

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Solution

The third proportional to 207,041 and 293,025 is: 414,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,041 : 293,025 = 293,025 : x
  2. Step 2: Convert to fraction form
    207,041/293,025 = 293,025/x
  3. Step 3: Cross multiply
    207,041x = 293,025 × 293,025
  4. Step 4: Simplify right side
    207,041x = 85,863,650,625
  5. Step 5: Solve for x
    x = 85,863,650,625/207,041
  6. Step 6: Final answer
    x = 414,718.10

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.