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Finding the Third Proportional to 325,155 and 500,171

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Solution

The third proportional to 325,155 and 500,171 is: 769,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,155 : 500,171 = 500,171 : x
  2. Step 2: Convert to fraction form
    325,155/500,171 = 500,171/x
  3. Step 3: Cross multiply
    325,155x = 500,171 × 500,171
  4. Step 4: Simplify right side
    325,155x = 250,171,029,241
  5. Step 5: Solve for x
    x = 250,171,029,241/325,155
  6. Step 6: Final answer
    x = 769,390.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.