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Finding the Third Proportional to 174,114 and 278,235

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Solution

The third proportional to 174,114 and 278,235 is: 444,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,114 : 278,235 = 278,235 : x
  2. Step 2: Convert to fraction form
    174,114/278,235 = 278,235/x
  3. Step 3: Cross multiply
    174,114x = 278,235 × 278,235
  4. Step 4: Simplify right side
    174,114x = 77,414,715,225
  5. Step 5: Solve for x
    x = 77,414,715,225/174,114
  6. Step 6: Final answer
    x = 444,620.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.