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Finding the Third Proportional to 164,052 and 251,496

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Solution

The third proportional to 164,052 and 251,496 is: 385,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,052 : 251,496 = 251,496 : x
  2. Step 2: Convert to fraction form
    164,052/251,496 = 251,496/x
  3. Step 3: Cross multiply
    164,052x = 251,496 × 251,496
  4. Step 4: Simplify right side
    164,052x = 63,250,238,016
  5. Step 5: Solve for x
    x = 63,250,238,016/164,052
  6. Step 6: Final answer
    x = 385,549.94

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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.