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Finding the Third Proportional to 195,377 and 428,197

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Solution

The third proportional to 195,377 and 428,197 is: 938,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,377 : 428,197 = 428,197 : x
  2. Step 2: Convert to fraction form
    195,377/428,197 = 428,197/x
  3. Step 3: Cross multiply
    195,377x = 428,197 × 428,197
  4. Step 4: Simplify right side
    195,377x = 183,352,670,809
  5. Step 5: Solve for x
    x = 183,352,670,809/195,377
  6. Step 6: Final answer
    x = 938,455.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.