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Finding the Third Proportional to 175,790 and 364,034

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Solution

The third proportional to 175,790 and 364,034 is: 753,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,790 : 364,034 = 364,034 : x
  2. Step 2: Convert to fraction form
    175,790/364,034 = 364,034/x
  3. Step 3: Cross multiply
    175,790x = 364,034 × 364,034
  4. Step 4: Simplify right side
    175,790x = 132,520,753,156
  5. Step 5: Solve for x
    x = 132,520,753,156/175,790
  6. Step 6: Final answer
    x = 753,858.31

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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.