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Finding the Third Proportional to 176,582 and 383,266

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Solution

The third proportional to 176,582 and 383,266 is: 831,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,582 : 383,266 = 383,266 : x
  2. Step 2: Convert to fraction form
    176,582/383,266 = 383,266/x
  3. Step 3: Cross multiply
    176,582x = 383,266 × 383,266
  4. Step 4: Simplify right side
    176,582x = 146,892,826,756
  5. Step 5: Solve for x
    x = 146,892,826,756/176,582
  6. Step 6: Final answer
    x = 831,867.50

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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.