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Finding the Third Proportional to 151,351.03 and 321,151.08

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Solution

The third proportional to 151,351.03 and 321,151.08 is: 681,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,351.03 : 321,151.08 = 321,151.08 : x
  2. Step 2: Convert to fraction form
    151,351.03/321,151.08 = 321,151.08/x
  3. Step 3: Cross multiply
    151,351.03x = 321,151.08 × 321,151.08
  4. Step 4: Simplify right side
    151,351.03x = 103,138,014,980.85
  5. Step 5: Solve for x
    x = 103,138,014,980.85/151,351.03
  6. Step 6: Final answer
    x = 681,449.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.