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Finding the Third Proportional to 160,864 and 350,272

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Solution

The third proportional to 160,864 and 350,272 is: 762,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,864 : 350,272 = 350,272 : x
  2. Step 2: Convert to fraction form
    160,864/350,272 = 350,272/x
  3. Step 3: Cross multiply
    160,864x = 350,272 × 350,272
  4. Step 4: Simplify right side
    160,864x = 122,690,473,984
  5. Step 5: Solve for x
    x = 122,690,473,984/160,864
  6. Step 6: Final answer
    x = 762,696.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.