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Finding the Third Proportional to 172,018.50 and 364,935

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Solution

The third proportional to 172,018.50 and 364,935 is: 774,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,018.50 : 364,935 = 364,935 : x
  2. Step 2: Convert to fraction form
    172,018.50/364,935 = 364,935/x
  3. Step 3: Cross multiply
    172,018.50x = 364,935 × 364,935
  4. Step 4: Simplify right side
    172,018.50x = 133,177,554,225
  5. Step 5: Solve for x
    x = 133,177,554,225/172,018.50
  6. Step 6: Final answer
    x = 774,204.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.