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Finding the Third Proportional to 175,004.14 and 381,685.61

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Solution

The third proportional to 175,004.14 and 381,685.61 is: 832,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,004.14 : 381,685.61 = 381,685.61 : x
  2. Step 2: Convert to fraction form
    175,004.14/381,685.61 = 381,685.61/x
  3. Step 3: Cross multiply
    175,004.14x = 381,685.61 × 381,685.61
  4. Step 4: Simplify right side
    175,004.14x = 145,683,901,422.05
  5. Step 5: Solve for x
    x = 145,683,901,422.05/175,004.14
  6. Step 6: Final answer
    x = 832,459.75

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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.