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Finding the Third Proportional to 176,912 and 373,792

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Solution

The third proportional to 176,912 and 373,792 is: 789,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,912 : 373,792 = 373,792 : x
  2. Step 2: Convert to fraction form
    176,912/373,792 = 373,792/x
  3. Step 3: Cross multiply
    176,912x = 373,792 × 373,792
  4. Step 4: Simplify right side
    176,912x = 139,720,459,264
  5. Step 5: Solve for x
    x = 139,720,459,264/176,912
  6. Step 6: Final answer
    x = 789,773.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.