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Finding the Third Proportional to 174,844 and 364,448

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Solution

The third proportional to 174,844 and 364,448 is: 759,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,844 : 364,448 = 364,448 : x
  2. Step 2: Convert to fraction form
    174,844/364,448 = 364,448/x
  3. Step 3: Cross multiply
    174,844x = 364,448 × 364,448
  4. Step 4: Simplify right side
    174,844x = 132,822,344,704
  5. Step 5: Solve for x
    x = 132,822,344,704/174,844
  6. Step 6: Final answer
    x = 759,662.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.