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Finding the Third Proportional to 169,262 and 401,014

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Solution

The third proportional to 169,262 and 401,014 is: 950,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,262 : 401,014 = 401,014 : x
  2. Step 2: Convert to fraction form
    169,262/401,014 = 401,014/x
  3. Step 3: Cross multiply
    169,262x = 401,014 × 401,014
  4. Step 4: Simplify right side
    169,262x = 160,812,228,196
  5. Step 5: Solve for x
    x = 160,812,228,196/169,262
  6. Step 6: Final answer
    x = 950,078.74

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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.