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Finding the Third Proportional to 146,009.25 and 313,837.88

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Solution

The third proportional to 146,009.25 and 313,837.88 is: 674,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,009.25 : 313,837.88 = 313,837.88 : x
  2. Step 2: Convert to fraction form
    146,009.25/313,837.88 = 313,837.88/x
  3. Step 3: Cross multiply
    146,009.25x = 313,837.88 × 313,837.88
  4. Step 4: Simplify right side
    146,009.25x = 98,494,211,784.52
  5. Step 5: Solve for x
    x = 98,494,211,784.52/146,009.25
  6. Step 6: Final answer
    x = 674,575.15

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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.