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Finding the Third Proportional to 181,348 and 254,925

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Solution

The third proportional to 181,348 and 254,925 is: 358,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,348 : 254,925 = 254,925 : x
  2. Step 2: Convert to fraction form
    181,348/254,925 = 254,925/x
  3. Step 3: Cross multiply
    181,348x = 254,925 × 254,925
  4. Step 4: Simplify right side
    181,348x = 64,986,755,625
  5. Step 5: Solve for x
    x = 64,986,755,625/181,348
  6. Step 6: Final answer
    x = 358,353.86

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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.