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Finding the Third Proportional to 151,791 and 326,543

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Solution

The third proportional to 151,791 and 326,543 is: 702,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,791 : 326,543 = 326,543 : x
  2. Step 2: Convert to fraction form
    151,791/326,543 = 326,543/x
  3. Step 3: Cross multiply
    151,791x = 326,543 × 326,543
  4. Step 4: Simplify right side
    151,791x = 106,630,330,849
  5. Step 5: Solve for x
    x = 106,630,330,849/151,791
  6. Step 6: Final answer
    x = 702,481.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.