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Finding the Third Proportional to 169,270 and 401,033

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Solution

The third proportional to 169,270 and 401,033 is: 950,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,270 : 401,033 = 401,033 : x
  2. Step 2: Convert to fraction form
    169,270/401,033 = 401,033/x
  3. Step 3: Cross multiply
    169,270x = 401,033 × 401,033
  4. Step 4: Simplify right side
    169,270x = 160,827,467,089
  5. Step 5: Solve for x
    x = 160,827,467,089/169,270
  6. Step 6: Final answer
    x = 950,123.87

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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.