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Finding the Third Proportional to 154,565.25 and 325,736.25

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Solution

The third proportional to 154,565.25 and 325,736.25 is: 686,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,565.25 : 325,736.25 = 325,736.25 : x
  2. Step 2: Convert to fraction form
    154,565.25/325,736.25 = 325,736.25/x
  3. Step 3: Cross multiply
    154,565.25x = 325,736.25 × 325,736.25
  4. Step 4: Simplify right side
    154,565.25x = 106,104,104,564.06
  5. Step 5: Solve for x
    x = 106,104,104,564.06/154,565.25
  6. Step 6: Final answer
    x = 686,468.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.