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Finding the Third Proportional to 176,032.50 and 380,123.25

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Solution

The third proportional to 176,032.50 and 380,123.25 is: 820,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,032.50 : 380,123.25 = 380,123.25 : x
  2. Step 2: Convert to fraction form
    176,032.50/380,123.25 = 380,123.25/x
  3. Step 3: Cross multiply
    176,032.50x = 380,123.25 × 380,123.25
  4. Step 4: Simplify right side
    176,032.50x = 144,493,685,190.56
  5. Step 5: Solve for x
    x = 144,493,685,190.56/176,032.50
  6. Step 6: Final answer
    x = 820,835.27

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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.