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Finding the Third Proportional to 176,353.50 and 380,583

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Solution

The third proportional to 176,353.50 and 380,583 is: 821,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,353.50 : 380,583 = 380,583 : x
  2. Step 2: Convert to fraction form
    176,353.50/380,583 = 380,583/x
  3. Step 3: Cross multiply
    176,353.50x = 380,583 × 380,583
  4. Step 4: Simplify right side
    176,353.50x = 144,843,419,889
  5. Step 5: Solve for x
    x = 144,843,419,889/176,353.50
  6. Step 6: Final answer
    x = 821,324.33

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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.