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Finding the Third Proportional to 164,711 and 359,542

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Solution

The third proportional to 164,711 and 359,542 is: 784,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,711 : 359,542 = 359,542 : x
  2. Step 2: Convert to fraction form
    164,711/359,542 = 359,542/x
  3. Step 3: Cross multiply
    164,711x = 359,542 × 359,542
  4. Step 4: Simplify right side
    164,711x = 129,270,449,764
  5. Step 5: Solve for x
    x = 129,270,449,764/164,711
  6. Step 6: Final answer
    x = 784,831.92

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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.