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Finding the Third Proportional to 202,177 and 313,117

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Solution

The third proportional to 202,177 and 313,117 is: 484,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,177 : 313,117 = 313,117 : x
  2. Step 2: Convert to fraction form
    202,177/313,117 = 313,117/x
  3. Step 3: Cross multiply
    202,177x = 313,117 × 313,117
  4. Step 4: Simplify right side
    202,177x = 98,042,255,689
  5. Step 5: Solve for x
    x = 98,042,255,689/202,177
  6. Step 6: Final answer
    x = 484,932.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.