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Finding the Third Proportional to 154,877 and 227,779

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Solution

The third proportional to 154,877 and 227,779 is: 334,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,877 : 227,779 = 227,779 : x
  2. Step 2: Convert to fraction form
    154,877/227,779 = 227,779/x
  3. Step 3: Cross multiply
    154,877x = 227,779 × 227,779
  4. Step 4: Simplify right side
    154,877x = 51,883,272,841
  5. Step 5: Solve for x
    x = 51,883,272,841/154,877
  6. Step 6: Final answer
    x = 334,996.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.