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Finding the Third Proportional to 150,030.75 and 325,485.75

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Solution

The third proportional to 150,030.75 and 325,485.75 is: 706,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,030.75 : 325,485.75 = 325,485.75 : x
  2. Step 2: Convert to fraction form
    150,030.75/325,485.75 = 325,485.75/x
  3. Step 3: Cross multiply
    150,030.75x = 325,485.75 × 325,485.75
  4. Step 4: Simplify right side
    150,030.75x = 105,940,973,453.06
  5. Step 5: Solve for x
    x = 105,940,973,453.06/150,030.75
  6. Step 6: Final answer
    x = 706,128.40

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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.