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Finding the Third Proportional to 164,905 and 227,532

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Solution

The third proportional to 164,905 and 227,532 is: 313,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,905 : 227,532 = 227,532 : x
  2. Step 2: Convert to fraction form
    164,905/227,532 = 227,532/x
  3. Step 3: Cross multiply
    164,905x = 227,532 × 227,532
  4. Step 4: Simplify right side
    164,905x = 51,770,811,024
  5. Step 5: Solve for x
    x = 51,770,811,024/164,905
  6. Step 6: Final answer
    x = 313,943.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.