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Finding the Third Proportional to 202,292 and 303,956.50

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Solution

The third proportional to 202,292 and 303,956.50 is: 456,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,292 : 303,956.50 = 303,956.50 : x
  2. Step 2: Convert to fraction form
    202,292/303,956.50 = 303,956.50/x
  3. Step 3: Cross multiply
    202,292x = 303,956.50 × 303,956.50
  4. Step 4: Simplify right side
    202,292x = 92,389,553,892.25
  5. Step 5: Solve for x
    x = 92,389,553,892.25/202,292
  6. Step 6: Final answer
    x = 456,713.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.