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Finding the Third Proportional to 145,424 and 313,816

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Solution

The third proportional to 145,424 and 313,816 is: 677,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,424 : 313,816 = 313,816 : x
  2. Step 2: Convert to fraction form
    145,424/313,816 = 313,816/x
  3. Step 3: Cross multiply
    145,424x = 313,816 × 313,816
  4. Step 4: Simplify right side
    145,424x = 98,480,481,856
  5. Step 5: Solve for x
    x = 98,480,481,856/145,424
  6. Step 6: Final answer
    x = 677,195.52

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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.