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Finding the Third Proportional to 161,245 and 254,234

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Solution

The third proportional to 161,245 and 254,234 is: 400,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,245 : 254,234 = 254,234 : x
  2. Step 2: Convert to fraction form
    161,245/254,234 = 254,234/x
  3. Step 3: Cross multiply
    161,245x = 254,234 × 254,234
  4. Step 4: Simplify right side
    161,245x = 64,634,926,756
  5. Step 5: Solve for x
    x = 64,634,926,756/161,245
  6. Step 6: Final answer
    x = 400,849.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.