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Finding the Third Proportional to 176,098 and 383,624

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Solution

The third proportional to 176,098 and 383,624 is: 835,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,098 : 383,624 = 383,624 : x
  2. Step 2: Convert to fraction form
    176,098/383,624 = 383,624/x
  3. Step 3: Cross multiply
    176,098x = 383,624 × 383,624
  4. Step 4: Simplify right side
    176,098x = 147,167,373,376
  5. Step 5: Solve for x
    x = 147,167,373,376/176,098
  6. Step 6: Final answer
    x = 835,712.92

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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.