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Finding the Third Proportional to 170,316 and 345,496

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Solution

The third proportional to 170,316 and 345,496 is: 700,858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,316 : 345,496 = 345,496 : x
  2. Step 2: Convert to fraction form
    170,316/345,496 = 345,496/x
  3. Step 3: Cross multiply
    170,316x = 345,496 × 345,496
  4. Step 4: Simplify right side
    170,316x = 119,367,486,016
  5. Step 5: Solve for x
    x = 119,367,486,016/170,316
  6. Step 6: Final answer
    x = 700,858.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.