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Finding the Third Proportional to 169,258 and 401,004

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Solution

The third proportional to 169,258 and 401,004 is: 950,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,258 : 401,004 = 401,004 : x
  2. Step 2: Convert to fraction form
    169,258/401,004 = 401,004/x
  3. Step 3: Cross multiply
    169,258x = 401,004 × 401,004
  4. Step 4: Simplify right side
    169,258x = 160,804,208,016
  5. Step 5: Solve for x
    x = 160,804,208,016/169,258
  6. Step 6: Final answer
    x = 950,053.81

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.