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Finding the Third Proportional to 149,786 and 325,822

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Solution

The third proportional to 149,786 and 325,822 is: 708,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,786 : 325,822 = 325,822 : x
  2. Step 2: Convert to fraction form
    149,786/325,822 = 325,822/x
  3. Step 3: Cross multiply
    149,786x = 325,822 × 325,822
  4. Step 4: Simplify right side
    149,786x = 106,159,975,684
  5. Step 5: Solve for x
    x = 106,159,975,684/149,786
  6. Step 6: Final answer
    x = 708,744.31

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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.