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Finding the Third Proportional to 176,578 and 383,258

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Solution

The third proportional to 176,578 and 383,258 is: 831,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,578 : 383,258 = 383,258 : x
  2. Step 2: Convert to fraction form
    176,578/383,258 = 383,258/x
  3. Step 3: Cross multiply
    176,578x = 383,258 × 383,258
  4. Step 4: Simplify right side
    176,578x = 146,886,694,564
  5. Step 5: Solve for x
    x = 146,886,694,564/176,578
  6. Step 6: Final answer
    x = 831,851.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.