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Finding the Third Proportional to 181,307 and 254,869

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Solution

The third proportional to 181,307 and 254,869 is: 358,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,307 : 254,869 = 254,869 : x
  2. Step 2: Convert to fraction form
    181,307/254,869 = 254,869/x
  3. Step 3: Cross multiply
    181,307x = 254,869 × 254,869
  4. Step 4: Simplify right side
    181,307x = 64,958,207,161
  5. Step 5: Solve for x
    x = 64,958,207,161/181,307
  6. Step 6: Final answer
    x = 358,277.44

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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.