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Finding the Third Proportional to 200,934 and 313,545

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Solution

The third proportional to 200,934 and 313,545 is: 489,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,934 : 313,545 = 313,545 : x
  2. Step 2: Convert to fraction form
    200,934/313,545 = 313,545/x
  3. Step 3: Cross multiply
    200,934x = 313,545 × 313,545
  4. Step 4: Simplify right side
    200,934x = 98,310,467,025
  5. Step 5: Solve for x
    x = 98,310,467,025/200,934
  6. Step 6: Final answer
    x = 489,267.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.