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Finding the Third Proportional to 148,776 and 322,824

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Solution

The third proportional to 148,776 and 322,824 is: 700,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,776 : 322,824 = 322,824 : x
  2. Step 2: Convert to fraction form
    148,776/322,824 = 322,824/x
  3. Step 3: Cross multiply
    148,776x = 322,824 × 322,824
  4. Step 4: Simplify right side
    148,776x = 104,215,334,976
  5. Step 5: Solve for x
    x = 104,215,334,976/148,776
  6. Step 6: Final answer
    x = 700,484.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.