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Finding the Third Proportional to 175,191 and 362,826

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Solution

The third proportional to 175,191 and 362,826 is: 751,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,191 : 362,826 = 362,826 : x
  2. Step 2: Convert to fraction form
    175,191/362,826 = 362,826/x
  3. Step 3: Cross multiply
    175,191x = 362,826 × 362,826
  4. Step 4: Simplify right side
    175,191x = 131,642,706,276
  5. Step 5: Solve for x
    x = 131,642,706,276/175,191
  6. Step 6: Final answer
    x = 751,423.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.