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Finding the Third Proportional to 160,117 and 344,975

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Solution

The third proportional to 160,117 and 344,975 is: 743,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,117 : 344,975 = 344,975 : x
  2. Step 2: Convert to fraction form
    160,117/344,975 = 344,975/x
  3. Step 3: Cross multiply
    160,117x = 344,975 × 344,975
  4. Step 4: Simplify right side
    160,117x = 119,007,750,625
  5. Step 5: Solve for x
    x = 119,007,750,625/160,117
  6. Step 6: Final answer
    x = 743,254.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.