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Finding the Third Proportional to 148,963 and 322,940

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Solution

The third proportional to 148,963 and 322,940 is: 700,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,963 : 322,940 = 322,940 : x
  2. Step 2: Convert to fraction form
    148,963/322,940 = 322,940/x
  3. Step 3: Cross multiply
    148,963x = 322,940 × 322,940
  4. Step 4: Simplify right side
    148,963x = 104,290,243,600
  5. Step 5: Solve for x
    x = 104,290,243,600/148,963
  6. Step 6: Final answer
    x = 700,108.37

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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.