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Finding the Third Proportional to 155,527.50 and 322,125

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Solution

The third proportional to 155,527.50 and 322,125 is: 667,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,527.50 : 322,125 = 322,125 : x
  2. Step 2: Convert to fraction form
    155,527.50/322,125 = 322,125/x
  3. Step 3: Cross multiply
    155,527.50x = 322,125 × 322,125
  4. Step 4: Simplify right side
    155,527.50x = 103,764,515,625
  5. Step 5: Solve for x
    x = 103,764,515,625/155,527.50
  6. Step 6: Final answer
    x = 667,177.93

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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.