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Finding the Third Proportional to 147,744 and 326,592

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Solution

The third proportional to 147,744 and 326,592 is: 721,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,744 : 326,592 = 326,592 : x
  2. Step 2: Convert to fraction form
    147,744/326,592 = 326,592/x
  3. Step 3: Cross multiply
    147,744x = 326,592 × 326,592
  4. Step 4: Simplify right side
    147,744x = 106,662,334,464
  5. Step 5: Solve for x
    x = 106,662,334,464/147,744
  6. Step 6: Final answer
    x = 721,940.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.