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Finding the Third Proportional to 149,802 and 325,842

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Solution

The third proportional to 149,802 and 325,842 is: 708,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,802 : 325,842 = 325,842 : x
  2. Step 2: Convert to fraction form
    149,802/325,842 = 325,842/x
  3. Step 3: Cross multiply
    149,802x = 325,842 × 325,842
  4. Step 4: Simplify right side
    149,802x = 106,173,008,964
  5. Step 5: Solve for x
    x = 106,173,008,964/149,802
  6. Step 6: Final answer
    x = 708,755.62

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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.