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Finding the Third Proportional to 150,054 and 325,019.25

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Solution

The third proportional to 150,054 and 325,019.25 is: 703,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,054 : 325,019.25 = 325,019.25 : x
  2. Step 2: Convert to fraction form
    150,054/325,019.25 = 325,019.25/x
  3. Step 3: Cross multiply
    150,054x = 325,019.25 × 325,019.25
  4. Step 4: Simplify right side
    150,054x = 105,637,512,870.56
  5. Step 5: Solve for x
    x = 105,637,512,870.56/150,054
  6. Step 6: Final answer
    x = 703,996.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.