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Finding the Third Proportional to 176,683 and 383,479

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Solution

The third proportional to 176,683 and 383,479 is: 832,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,683 : 383,479 = 383,479 : x
  2. Step 2: Convert to fraction form
    176,683/383,479 = 383,479/x
  3. Step 3: Cross multiply
    176,683x = 383,479 × 383,479
  4. Step 4: Simplify right side
    176,683x = 147,056,143,441
  5. Step 5: Solve for x
    x = 147,056,143,441/176,683
  6. Step 6: Final answer
    x = 832,316.31

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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.