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Finding the Third Proportional to 151,477 and 234,539

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Solution

The third proportional to 151,477 and 234,539 is: 363,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,477 : 234,539 = 234,539 : x
  2. Step 2: Convert to fraction form
    151,477/234,539 = 234,539/x
  3. Step 3: Cross multiply
    151,477x = 234,539 × 234,539
  4. Step 4: Simplify right side
    151,477x = 55,008,542,521
  5. Step 5: Solve for x
    x = 55,008,542,521/151,477
  6. Step 6: Final answer
    x = 363,147.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.