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Finding the Third Proportional to 155,525.06 and 327,650.06

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Solution

The third proportional to 155,525.06 and 327,650.06 is: 690,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,525.06 : 327,650.06 = 327,650.06 : x
  2. Step 2: Convert to fraction form
    155,525.06/327,650.06 = 327,650.06/x
  3. Step 3: Cross multiply
    155,525.06x = 327,650.06 × 327,650.06
  4. Step 4: Simplify right side
    155,525.06x = 107,354,563,456.25
  5. Step 5: Solve for x
    x = 107,354,563,456.25/155,525.06
  6. Step 6: Final answer
    x = 690,271.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.