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Finding the Third Proportional to 201,930 and 313,566

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Solution

The third proportional to 201,930 and 313,566 is: 486,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,930 : 313,566 = 313,566 : x
  2. Step 2: Convert to fraction form
    201,930/313,566 = 313,566/x
  3. Step 3: Cross multiply
    201,930x = 313,566 × 313,566
  4. Step 4: Simplify right side
    201,930x = 98,323,636,356
  5. Step 5: Solve for x
    x = 98,323,636,356/201,930
  6. Step 6: Final answer
    x = 486,919.41

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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.