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Finding the Third Proportional to 174,981.94 and 381,623.06

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Solution

The third proportional to 174,981.94 and 381,623.06 is: 832,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,981.94 : 381,623.06 = 381,623.06 : x
  2. Step 2: Convert to fraction form
    174,981.94/381,623.06 = 381,623.06/x
  3. Step 3: Cross multiply
    174,981.94x = 381,623.06 × 381,623.06
  4. Step 4: Simplify right side
    174,981.94x = 145,636,161,831.88
  5. Step 5: Solve for x
    x = 145,636,161,831.88/174,981.94
  6. Step 6: Final answer
    x = 832,292.54

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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.