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Finding the Third Proportional to 149,775.33 and 325,999.69

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Solution

The third proportional to 149,775.33 and 325,999.69 is: 709,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,775.33 : 325,999.69 = 325,999.69 : x
  2. Step 2: Convert to fraction form
    149,775.33/325,999.69 = 325,999.69/x
  3. Step 3: Cross multiply
    149,775.33x = 325,999.69 × 325,999.69
  4. Step 4: Simplify right side
    149,775.33x = 106,275,796,250.10
  5. Step 5: Solve for x
    x = 106,275,796,250.10/149,775.33
  6. Step 6: Final answer
    x = 709,568.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.