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Finding the Third Proportional to 171,417 and 351,186

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Solution

The third proportional to 171,417 and 351,186 is: 719,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,417 : 351,186 = 351,186 : x
  2. Step 2: Convert to fraction form
    171,417/351,186 = 351,186/x
  3. Step 3: Cross multiply
    171,417x = 351,186 × 351,186
  4. Step 4: Simplify right side
    171,417x = 123,331,606,596
  5. Step 5: Solve for x
    x = 123,331,606,596/171,417
  6. Step 6: Final answer
    x = 719,482.94

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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.