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Finding the Third Proportional to 174,842 and 364,444

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Solution

The third proportional to 174,842 and 364,444 is: 759,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,842 : 364,444 = 364,444 : x
  2. Step 2: Convert to fraction form
    174,842/364,444 = 364,444/x
  3. Step 3: Cross multiply
    174,842x = 364,444 × 364,444
  4. Step 4: Simplify right side
    174,842x = 132,819,429,136
  5. Step 5: Solve for x
    x = 132,819,429,136/174,842
  6. Step 6: Final answer
    x = 759,654.03

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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.