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Finding the Third Proportional to 164,529 and 248,007

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Solution

The third proportional to 164,529 and 248,007 is: 373,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,529 : 248,007 = 248,007 : x
  2. Step 2: Convert to fraction form
    164,529/248,007 = 248,007/x
  3. Step 3: Cross multiply
    164,529x = 248,007 × 248,007
  4. Step 4: Simplify right side
    164,529x = 61,507,472,049
  5. Step 5: Solve for x
    x = 61,507,472,049/164,529
  6. Step 6: Final answer
    x = 373,839.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.