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Finding the Third Proportional to 174,753 and 381,258

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Solution

The third proportional to 174,753 and 381,258 is: 831,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,753 : 381,258 = 381,258 : x
  2. Step 2: Convert to fraction form
    174,753/381,258 = 381,258/x
  3. Step 3: Cross multiply
    174,753x = 381,258 × 381,258
  4. Step 4: Simplify right side
    174,753x = 145,357,662,564
  5. Step 5: Solve for x
    x = 145,357,662,564/174,753
  6. Step 6: Final answer
    x = 831,789.23

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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.