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Finding the Third Proportional to 175,791 and 364,043

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Solution

The third proportional to 175,791 and 364,043 is: 753,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,791 : 364,043 = 364,043 : x
  2. Step 2: Convert to fraction form
    175,791/364,043 = 364,043/x
  3. Step 3: Cross multiply
    175,791x = 364,043 × 364,043
  4. Step 4: Simplify right side
    175,791x = 132,527,305,849
  5. Step 5: Solve for x
    x = 132,527,305,849/175,791
  6. Step 6: Final answer
    x = 753,891.30

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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.