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Finding the Third Proportional to 172,432 and 372,064

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Solution

The third proportional to 172,432 and 372,064 is: 802,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,432 : 372,064 = 372,064 : x
  2. Step 2: Convert to fraction form
    172,432/372,064 = 372,064/x
  3. Step 3: Cross multiply
    172,432x = 372,064 × 372,064
  4. Step 4: Simplify right side
    172,432x = 138,431,620,096
  5. Step 5: Solve for x
    x = 138,431,620,096/172,432
  6. Step 6: Final answer
    x = 802,818.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.