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Finding the Third Proportional to 178,107 and 383,862

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Solution

The third proportional to 178,107 and 383,862 is: 827,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,107 : 383,862 = 383,862 : x
  2. Step 2: Convert to fraction form
    178,107/383,862 = 383,862/x
  3. Step 3: Cross multiply
    178,107x = 383,862 × 383,862
  4. Step 4: Simplify right side
    178,107x = 147,350,035,044
  5. Step 5: Solve for x
    x = 147,350,035,044/178,107
  6. Step 6: Final answer
    x = 827,311.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.