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Finding the Third Proportional to 145,851 and 301,824

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Solution

The third proportional to 145,851 and 301,824 is: 624,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,851 : 301,824 = 301,824 : x
  2. Step 2: Convert to fraction form
    145,851/301,824 = 301,824/x
  3. Step 3: Cross multiply
    145,851x = 301,824 × 301,824
  4. Step 4: Simplify right side
    145,851x = 91,097,726,976
  5. Step 5: Solve for x
    x = 91,097,726,976/145,851
  6. Step 6: Final answer
    x = 624,594.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.