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Finding the Third Proportional to 149,272 and 324,800

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Solution

The third proportional to 149,272 and 324,800 is: 706,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,272 : 324,800 = 324,800 : x
  2. Step 2: Convert to fraction form
    149,272/324,800 = 324,800/x
  3. Step 3: Cross multiply
    149,272x = 324,800 × 324,800
  4. Step 4: Simplify right side
    149,272x = 105,495,040,000
  5. Step 5: Solve for x
    x = 105,495,040,000/149,272
  6. Step 6: Final answer
    x = 706,730.26

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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.