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Finding the Third Proportional to 149,880 and 325,005

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Solution

The third proportional to 149,880 and 325,005 is: 704,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,880 : 325,005 = 325,005 : x
  2. Step 2: Convert to fraction form
    149,880/325,005 = 325,005/x
  3. Step 3: Cross multiply
    149,880x = 325,005 × 325,005
  4. Step 4: Simplify right side
    149,880x = 105,628,250,025
  5. Step 5: Solve for x
    x = 105,628,250,025/149,880
  6. Step 6: Final answer
    x = 704,752.14

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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.