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Finding the Third Proportional to 175,078 and 274,357

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Solution

The third proportional to 175,078 and 274,357 is: 429,932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,078 : 274,357 = 274,357 : x
  2. Step 2: Convert to fraction form
    175,078/274,357 = 274,357/x
  3. Step 3: Cross multiply
    175,078x = 274,357 × 274,357
  4. Step 4: Simplify right side
    175,078x = 75,271,763,449
  5. Step 5: Solve for x
    x = 75,271,763,449/175,078
  6. Step 6: Final answer
    x = 429,932.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.