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Finding the Third Proportional to 149,763.94 and 325,771.88

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Solution

The third proportional to 149,763.94 and 325,771.88 is: 708,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,763.94 : 325,771.88 = 325,771.88 : x
  2. Step 2: Convert to fraction form
    149,763.94/325,771.88 = 325,771.88/x
  3. Step 3: Cross multiply
    149,763.94x = 325,771.88 × 325,771.88
  4. Step 4: Simplify right side
    149,763.94x = 106,127,314,541.02
  5. Step 5: Solve for x
    x = 106,127,314,541.02/149,763.94
  6. Step 6: Final answer
    x = 708,630.64

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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.