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Finding the Third Proportional to 174,342 and 368,265

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Solution

The third proportional to 174,342 and 368,265 is: 777,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,342 : 368,265 = 368,265 : x
  2. Step 2: Convert to fraction form
    174,342/368,265 = 368,265/x
  3. Step 3: Cross multiply
    174,342x = 368,265 × 368,265
  4. Step 4: Simplify right side
    174,342x = 135,619,110,225
  5. Step 5: Solve for x
    x = 135,619,110,225/174,342
  6. Step 6: Final answer
    x = 777,891.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.