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Finding the Third Proportional to 202,878 and 296,805

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Solution

The third proportional to 202,878 and 296,805 is: 434,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,878 : 296,805 = 296,805 : x
  2. Step 2: Convert to fraction form
    202,878/296,805 = 296,805/x
  3. Step 3: Cross multiply
    202,878x = 296,805 × 296,805
  4. Step 4: Simplify right side
    202,878x = 88,093,208,025
  5. Step 5: Solve for x
    x = 88,093,208,025/202,878
  6. Step 6: Final answer
    x = 434,217.65

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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.