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Finding the Third Proportional to 158,322.09 and 323,091.28

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Solution

The third proportional to 158,322.09 and 323,091.28 is: 659,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,322.09 : 323,091.28 = 323,091.28 : x
  2. Step 2: Convert to fraction form
    158,322.09/323,091.28 = 323,091.28/x
  3. Step 3: Cross multiply
    158,322.09x = 323,091.28 × 323,091.28
  4. Step 4: Simplify right side
    158,322.09x = 104,387,976,019.77
  5. Step 5: Solve for x
    x = 104,387,976,019.77/158,322.09
  6. Step 6: Final answer
    x = 659,339.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.