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Finding the Third Proportional to 193,610 and 416,888

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Solution

The third proportional to 193,610 and 416,888 is: 897,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,610 : 416,888 = 416,888 : x
  2. Step 2: Convert to fraction form
    193,610/416,888 = 416,888/x
  3. Step 3: Cross multiply
    193,610x = 416,888 × 416,888
  4. Step 4: Simplify right side
    193,610x = 173,795,604,544
  5. Step 5: Solve for x
    x = 173,795,604,544/193,610
  6. Step 6: Final answer
    x = 897,658.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.