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Finding the Third Proportional to 253,149 and 356,037

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Solution

The third proportional to 253,149 and 356,037 is: 500,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,149 : 356,037 = 356,037 : x
  2. Step 2: Convert to fraction form
    253,149/356,037 = 356,037/x
  3. Step 3: Cross multiply
    253,149x = 356,037 × 356,037
  4. Step 4: Simplify right side
    253,149x = 126,762,345,369
  5. Step 5: Solve for x
    x = 126,762,345,369/253,149
  6. Step 6: Final answer
    x = 500,742.03

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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.