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Finding the Third Proportional to 164,632 and 250,500

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Solution

The third proportional to 164,632 and 250,500 is: 381,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,632 : 250,500 = 250,500 : x
  2. Step 2: Convert to fraction form
    164,632/250,500 = 250,500/x
  3. Step 3: Cross multiply
    164,632x = 250,500 × 250,500
  4. Step 4: Simplify right side
    164,632x = 62,750,250,000
  5. Step 5: Solve for x
    x = 62,750,250,000/164,632
  6. Step 6: Final answer
    x = 381,154.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.