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Finding the Third Proportional to 160,274 and 342,783

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Solution

The third proportional to 160,274 and 342,783 is: 733,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,274 : 342,783 = 342,783 : x
  2. Step 2: Convert to fraction form
    160,274/342,783 = 342,783/x
  3. Step 3: Cross multiply
    160,274x = 342,783 × 342,783
  4. Step 4: Simplify right side
    160,274x = 117,500,185,089
  5. Step 5: Solve for x
    x = 117,500,185,089/160,274
  6. Step 6: Final answer
    x = 733,120.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.