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Finding the Third Proportional to 173,046.38 and 368,205.75

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Solution

The third proportional to 173,046.38 and 368,205.75 is: 783,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,046.38 : 368,205.75 = 368,205.75 : x
  2. Step 2: Convert to fraction form
    173,046.38/368,205.75 = 368,205.75/x
  3. Step 3: Cross multiply
    173,046.38x = 368,205.75 × 368,205.75
  4. Step 4: Simplify right side
    173,046.38x = 135,575,474,333.06
  5. Step 5: Solve for x
    x = 135,575,474,333.06/173,046.38
  6. Step 6: Final answer
    x = 783,463.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.