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Finding the Third Proportional to 172,432 and 252,085

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Solution

The third proportional to 172,432 and 252,085 is: 368,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,432 : 252,085 = 252,085 : x
  2. Step 2: Convert to fraction form
    172,432/252,085 = 252,085/x
  3. Step 3: Cross multiply
    172,432x = 252,085 × 252,085
  4. Step 4: Simplify right side
    172,432x = 63,546,847,225
  5. Step 5: Solve for x
    x = 63,546,847,225/172,432
  6. Step 6: Final answer
    x = 368,532.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.