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Finding the Third Proportional to 155,115 and 237,183.75

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Solution

The third proportional to 155,115 and 237,183.75 is: 362,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,115 : 237,183.75 = 237,183.75 : x
  2. Step 2: Convert to fraction form
    155,115/237,183.75 = 237,183.75/x
  3. Step 3: Cross multiply
    155,115x = 237,183.75 × 237,183.75
  4. Step 4: Simplify right side
    155,115x = 56,256,131,264.06
  5. Step 5: Solve for x
    x = 56,256,131,264.06/155,115
  6. Step 6: Final answer
    x = 362,673.70

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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.