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Finding the Third Proportional to 181,264 and 388,779

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Solution

The third proportional to 181,264 and 388,779 is: 833,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,264 : 388,779 = 388,779 : x
  2. Step 2: Convert to fraction form
    181,264/388,779 = 388,779/x
  3. Step 3: Cross multiply
    181,264x = 388,779 × 388,779
  4. Step 4: Simplify right side
    181,264x = 151,149,110,841
  5. Step 5: Solve for x
    x = 151,149,110,841/181,264
  6. Step 6: Final answer
    x = 833,861.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.