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Finding the Third Proportional to 173,775.38 and 380,765.81

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Solution

The third proportional to 173,775.38 and 380,765.81 is: 834,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,775.38 : 380,765.81 = 380,765.81 : x
  2. Step 2: Convert to fraction form
    173,775.38/380,765.81 = 380,765.81/x
  3. Step 3: Cross multiply
    173,775.38x = 380,765.81 × 380,765.81
  4. Step 4: Simplify right side
    173,775.38x = 144,982,603,968.79
  5. Step 5: Solve for x
    x = 144,982,603,968.79/173,775.38
  6. Step 6: Final answer
    x = 834,310.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.