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Finding the Third Proportional to 357,197 and 485,112

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Solution

The third proportional to 357,197 and 485,112 is: 658,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,197 : 485,112 = 485,112 : x
  2. Step 2: Convert to fraction form
    357,197/485,112 = 485,112/x
  3. Step 3: Cross multiply
    357,197x = 485,112 × 485,112
  4. Step 4: Simplify right side
    357,197x = 235,333,652,544
  5. Step 5: Solve for x
    x = 235,333,652,544/357,197
  6. Step 6: Final answer
    x = 658,834.35

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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.