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Finding the Third Proportional to 175,197 and 384,306

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Solution

The third proportional to 175,197 and 384,306 is: 843,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,197 : 384,306 = 384,306 : x
  2. Step 2: Convert to fraction form
    175,197/384,306 = 384,306/x
  3. Step 3: Cross multiply
    175,197x = 384,306 × 384,306
  4. Step 4: Simplify right side
    175,197x = 147,691,101,636
  5. Step 5: Solve for x
    x = 147,691,101,636/175,197
  6. Step 6: Final answer
    x = 843,000.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.