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Finding the Third Proportional to 150,594.19 and 325,999.69

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Solution

The third proportional to 150,594.19 and 325,999.69 is: 705,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,594.19 : 325,999.69 = 325,999.69 : x
  2. Step 2: Convert to fraction form
    150,594.19/325,999.69 = 325,999.69/x
  3. Step 3: Cross multiply
    150,594.19x = 325,999.69 × 325,999.69
  4. Step 4: Simplify right side
    150,594.19x = 106,275,796,250.10
  5. Step 5: Solve for x
    x = 106,275,796,250.10/150,594.19
  6. Step 6: Final answer
    x = 705,709.82

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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.