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Finding the Third Proportional to 150,495 and 313,446

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Solution

The third proportional to 150,495 and 313,446 is: 652,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,495 : 313,446 = 313,446 : x
  2. Step 2: Convert to fraction form
    150,495/313,446 = 313,446/x
  3. Step 3: Cross multiply
    150,495x = 313,446 × 313,446
  4. Step 4: Simplify right side
    150,495x = 98,248,394,916
  5. Step 5: Solve for x
    x = 98,248,394,916/150,495
  6. Step 6: Final answer
    x = 652,834.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.