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Finding the Third Proportional to 155,932.50 and 203,912.25

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Solution

The third proportional to 155,932.50 and 203,912.25 is: 266,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,932.50 : 203,912.25 = 203,912.25 : x
  2. Step 2: Convert to fraction form
    155,932.50/203,912.25 = 203,912.25/x
  3. Step 3: Cross multiply
    155,932.50x = 203,912.25 × 203,912.25
  4. Step 4: Simplify right side
    155,932.50x = 41,580,205,700.06
  5. Step 5: Solve for x
    x = 41,580,205,700.06/155,932.50
  6. Step 6: Final answer
    x = 266,655.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.