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Finding the Third Proportional to 257,948 and 344,025

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Solution

The third proportional to 257,948 and 344,025 is: 458,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,948 : 344,025 = 344,025 : x
  2. Step 2: Convert to fraction form
    257,948/344,025 = 344,025/x
  3. Step 3: Cross multiply
    257,948x = 344,025 × 344,025
  4. Step 4: Simplify right side
    257,948x = 118,353,200,625
  5. Step 5: Solve for x
    x = 118,353,200,625/257,948
  6. Step 6: Final answer
    x = 458,825.81

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.