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Finding the Third Proportional to 157,955.50 and 327,089.25

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Solution

The third proportional to 157,955.50 and 327,089.25 is: 677,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,955.50 : 327,089.25 = 327,089.25 : x
  2. Step 2: Convert to fraction form
    157,955.50/327,089.25 = 327,089.25/x
  3. Step 3: Cross multiply
    157,955.50x = 327,089.25 × 327,089.25
  4. Step 4: Simplify right side
    157,955.50x = 106,987,377,465.56
  5. Step 5: Solve for x
    x = 106,987,377,465.56/157,955.50
  6. Step 6: Final answer
    x = 677,326.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.