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Finding the Third Proportional to 155,538.50 and 240,596.75

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Solution

The third proportional to 155,538.50 and 240,596.75 is: 372,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,538.50 : 240,596.75 = 240,596.75 : x
  2. Step 2: Convert to fraction form
    155,538.50/240,596.75 = 240,596.75/x
  3. Step 3: Cross multiply
    155,538.50x = 240,596.75 × 240,596.75
  4. Step 4: Simplify right side
    155,538.50x = 57,886,796,110.56
  5. Step 5: Solve for x
    x = 57,886,796,110.56/155,538.50
  6. Step 6: Final answer
    x = 372,170.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.