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Finding the Third Proportional to 169,251 and 364,951.50

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Solution

The third proportional to 169,251 and 364,951.50 is: 786,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,251 : 364,951.50 = 364,951.50 : x
  2. Step 2: Convert to fraction form
    169,251/364,951.50 = 364,951.50/x
  3. Step 3: Cross multiply
    169,251x = 364,951.50 × 364,951.50
  4. Step 4: Simplify right side
    169,251x = 133,189,597,352.25
  5. Step 5: Solve for x
    x = 133,189,597,352.25/169,251
  6. Step 6: Final answer
    x = 786,935.36

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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.