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Finding the Third Proportional to 145,296 and 313,542

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Solution

The third proportional to 145,296 and 313,542 is: 676,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,296 : 313,542 = 313,542 : x
  2. Step 2: Convert to fraction form
    145,296/313,542 = 313,542/x
  3. Step 3: Cross multiply
    145,296x = 313,542 × 313,542
  4. Step 4: Simplify right side
    145,296x = 98,308,585,764
  5. Step 5: Solve for x
    x = 98,308,585,764/145,296
  6. Step 6: Final answer
    x = 676,609.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.