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Finding the Third Proportional to 169,250 and 400,985

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Solution

The third proportional to 169,250 and 400,985 is: 950,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,250 : 400,985 = 400,985 : x
  2. Step 2: Convert to fraction form
    169,250/400,985 = 400,985/x
  3. Step 3: Cross multiply
    169,250x = 400,985 × 400,985
  4. Step 4: Simplify right side
    169,250x = 160,788,970,225
  5. Step 5: Solve for x
    x = 160,788,970,225/169,250
  6. Step 6: Final answer
    x = 950,008.69

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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.