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Finding the Third Proportional to 172,606.50 and 369,201.94

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Solution

The third proportional to 172,606.50 and 369,201.94 is: 789,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,606.50 : 369,201.94 = 369,201.94 : x
  2. Step 2: Convert to fraction form
    172,606.50/369,201.94 = 369,201.94/x
  3. Step 3: Cross multiply
    172,606.50x = 369,201.94 × 369,201.94
  4. Step 4: Simplify right side
    172,606.50x = 136,310,070,653.75
  5. Step 5: Solve for x
    x = 136,310,070,653.75/172,606.50
  6. Step 6: Final answer
    x = 789,715.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.