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Finding the Third Proportional to 167,750 and 227,955

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Solution

The third proportional to 167,750 and 227,955 is: 309,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,750 : 227,955 = 227,955 : x
  2. Step 2: Convert to fraction form
    167,750/227,955 = 227,955/x
  3. Step 3: Cross multiply
    167,750x = 227,955 × 227,955
  4. Step 4: Simplify right side
    167,750x = 51,963,482,025
  5. Step 5: Solve for x
    x = 51,963,482,025/167,750
  6. Step 6: Final answer
    x = 309,767.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.