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Finding the Third Proportional to 202,881 and 296,809

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Solution

The third proportional to 202,881 and 296,809 is: 434,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,881 : 296,809 = 296,809 : x
  2. Step 2: Convert to fraction form
    202,881/296,809 = 296,809/x
  3. Step 3: Cross multiply
    202,881x = 296,809 × 296,809
  4. Step 4: Simplify right side
    202,881x = 88,095,582,481
  5. Step 5: Solve for x
    x = 88,095,582,481/202,881
  6. Step 6: Final answer
    x = 434,222.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.