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Finding the Third Proportional to 169,260 and 401,009

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Solution

The third proportional to 169,260 and 401,009 is: 950,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,260 : 401,009 = 401,009 : x
  2. Step 2: Convert to fraction form
    169,260/401,009 = 401,009/x
  3. Step 3: Cross multiply
    169,260x = 401,009 × 401,009
  4. Step 4: Simplify right side
    169,260x = 160,808,218,081
  5. Step 5: Solve for x
    x = 160,808,218,081/169,260
  6. Step 6: Final answer
    x = 950,066.28

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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.