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Finding the Third Proportional to 145,464 and 313,824

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Solution

The third proportional to 145,464 and 313,824 is: 677,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,464 : 313,824 = 313,824 : x
  2. Step 2: Convert to fraction form
    145,464/313,824 = 313,824/x
  3. Step 3: Cross multiply
    145,464x = 313,824 × 313,824
  4. Step 4: Simplify right side
    145,464x = 98,485,502,976
  5. Step 5: Solve for x
    x = 98,485,502,976/145,464
  6. Step 6: Final answer
    x = 677,043.83

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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.