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Finding the Third Proportional to 357,195 and 485,109

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Solution

The third proportional to 357,195 and 485,109 is: 658,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,195 : 485,109 = 485,109 : x
  2. Step 2: Convert to fraction form
    357,195/485,109 = 485,109/x
  3. Step 3: Cross multiply
    357,195x = 485,109 × 485,109
  4. Step 4: Simplify right side
    357,195x = 235,330,741,881
  5. Step 5: Solve for x
    x = 235,330,741,881/357,195
  6. Step 6: Final answer
    x = 658,829.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.