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Finding the Third Proportional to 169,014.09 and 365,092.31

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Solution

The third proportional to 169,014.09 and 365,092.31 is: 788,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,014.09 : 365,092.31 = 365,092.31 : x
  2. Step 2: Convert to fraction form
    169,014.09/365,092.31 = 365,092.31/x
  3. Step 3: Cross multiply
    169,014.09x = 365,092.31 × 365,092.31
  4. Step 4: Simplify right side
    169,014.09x = 133,292,396,646.60
  5. Step 5: Solve for x
    x = 133,292,396,646.60/169,014.09
  6. Step 6: Final answer
    x = 788,646.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.