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Finding the Third Proportional to 169,485.75 and 232,405.03

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Solution

The third proportional to 169,485.75 and 232,405.03 is: 318,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,485.75 : 232,405.03 = 232,405.03 : x
  2. Step 2: Convert to fraction form
    169,485.75/232,405.03 = 232,405.03/x
  3. Step 3: Cross multiply
    169,485.75x = 232,405.03 × 232,405.03
  4. Step 4: Simplify right side
    169,485.75x = 54,012,098,550.31
  5. Step 5: Solve for x
    x = 54,012,098,550.31/169,485.75
  6. Step 6: Final answer
    x = 318,682.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.