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Finding the Third Proportional to 175,084 and 274,366

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Solution

The third proportional to 175,084 and 274,366 is: 429,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,084 : 274,366 = 274,366 : x
  2. Step 2: Convert to fraction form
    175,084/274,366 = 274,366/x
  3. Step 3: Cross multiply
    175,084x = 274,366 × 274,366
  4. Step 4: Simplify right side
    175,084x = 75,276,701,956
  5. Step 5: Solve for x
    x = 75,276,701,956/175,084
  6. Step 6: Final answer
    x = 429,946.21

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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.