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Finding the Third Proportional to 155,155.50 and 237,245.84

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Solution

The third proportional to 155,155.50 and 237,245.84 is: 362,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,155.50 : 237,245.84 = 237,245.84 : x
  2. Step 2: Convert to fraction form
    155,155.50/237,245.84 = 237,245.84/x
  3. Step 3: Cross multiply
    155,155.50x = 237,245.84 × 237,245.84
  4. Step 4: Simplify right side
    155,155.50x = 56,285,586,669.68
  5. Step 5: Solve for x
    x = 56,285,586,669.68/155,155.50
  6. Step 6: Final answer
    x = 362,768.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.