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Finding the Third Proportional to 174,100 and 363,336

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Solution

The third proportional to 174,100 and 363,336 is: 758,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,100 : 363,336 = 363,336 : x
  2. Step 2: Convert to fraction form
    174,100/363,336 = 363,336/x
  3. Step 3: Cross multiply
    174,100x = 363,336 × 363,336
  4. Step 4: Simplify right side
    174,100x = 132,013,048,896
  5. Step 5: Solve for x
    x = 132,013,048,896/174,100
  6. Step 6: Final answer
    x = 758,259.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.