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Finding the Third Proportional to 155,340 and 332,811

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Solution

The third proportional to 155,340 and 332,811 is: 713,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,340 : 332,811 = 332,811 : x
  2. Step 2: Convert to fraction form
    155,340/332,811 = 332,811/x
  3. Step 3: Cross multiply
    155,340x = 332,811 × 332,811
  4. Step 4: Simplify right side
    155,340x = 110,763,161,721
  5. Step 5: Solve for x
    x = 110,763,161,721/155,340
  6. Step 6: Final answer
    x = 713,036.96

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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.