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Finding the Third Proportional to 197,546 and 425,976

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Solution

The third proportional to 197,546 and 425,976 is: 918,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,546 : 425,976 = 425,976 : x
  2. Step 2: Convert to fraction form
    197,546/425,976 = 425,976/x
  3. Step 3: Cross multiply
    197,546x = 425,976 × 425,976
  4. Step 4: Simplify right side
    197,546x = 181,455,552,576
  5. Step 5: Solve for x
    x = 181,455,552,576/197,546
  6. Step 6: Final answer
    x = 918,548.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.