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Finding the Third Proportional to 149,784 and 325,812

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Solution

The third proportional to 149,784 and 325,812 is: 708,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,784 : 325,812 = 325,812 : x
  2. Step 2: Convert to fraction form
    149,784/325,812 = 325,812/x
  3. Step 3: Cross multiply
    149,784x = 325,812 × 325,812
  4. Step 4: Simplify right side
    149,784x = 106,153,459,344
  5. Step 5: Solve for x
    x = 106,153,459,344/149,784
  6. Step 6: Final answer
    x = 708,710.27

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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.