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Finding the Third Proportional to 253,106 and 356,025

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Solution

The third proportional to 253,106 and 356,025 is: 500,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,106 : 356,025 = 356,025 : x
  2. Step 2: Convert to fraction form
    253,106/356,025 = 356,025/x
  3. Step 3: Cross multiply
    253,106x = 356,025 × 356,025
  4. Step 4: Simplify right side
    253,106x = 126,753,800,625
  5. Step 5: Solve for x
    x = 126,753,800,625/253,106
  6. Step 6: Final answer
    x = 500,793.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.