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Finding the Third Proportional to 193,553 and 416,768

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Solution

The third proportional to 193,553 and 416,768 is: 897,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,553 : 416,768 = 416,768 : x
  2. Step 2: Convert to fraction form
    193,553/416,768 = 416,768/x
  3. Step 3: Cross multiply
    193,553x = 416,768 × 416,768
  4. Step 4: Simplify right side
    193,553x = 173,695,565,824
  5. Step 5: Solve for x
    x = 173,695,565,824/193,553
  6. Step 6: Final answer
    x = 897,405.70

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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.