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Finding the Third Proportional to 167,495 and 227,445

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Solution

The third proportional to 167,495 and 227,445 is: 308,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,495 : 227,445 = 227,445 : x
  2. Step 2: Convert to fraction form
    167,495/227,445 = 227,445/x
  3. Step 3: Cross multiply
    167,495x = 227,445 × 227,445
  4. Step 4: Simplify right side
    167,495x = 51,731,228,025
  5. Step 5: Solve for x
    x = 51,731,228,025/167,495
  6. Step 6: Final answer
    x = 308,852.37

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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.