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Finding the Third Proportional to 171,442 and 351,236

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Solution

The third proportional to 171,442 and 351,236 is: 719,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,442 : 351,236 = 351,236 : x
  2. Step 2: Convert to fraction form
    171,442/351,236 = 351,236/x
  3. Step 3: Cross multiply
    171,442x = 351,236 × 351,236
  4. Step 4: Simplify right side
    171,442x = 123,366,727,696
  5. Step 5: Solve for x
    x = 123,366,727,696/171,442
  6. Step 6: Final answer
    x = 719,582.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.