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Finding the Third Proportional to 172,094 and 377,236

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Solution

The third proportional to 172,094 and 377,236 is: 826,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,094 : 377,236 = 377,236 : x
  2. Step 2: Convert to fraction form
    172,094/377,236 = 377,236/x
  3. Step 3: Cross multiply
    172,094x = 377,236 × 377,236
  4. Step 4: Simplify right side
    172,094x = 142,306,999,696
  5. Step 5: Solve for x
    x = 142,306,999,696/172,094
  6. Step 6: Final answer
    x = 826,914.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.