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Finding the Third Proportional to 148,451 and 320,032

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Solution

The third proportional to 148,451 and 320,032 is: 689,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,451 : 320,032 = 320,032 : x
  2. Step 2: Convert to fraction form
    148,451/320,032 = 320,032/x
  3. Step 3: Cross multiply
    148,451x = 320,032 × 320,032
  4. Step 4: Simplify right side
    148,451x = 102,420,481,024
  5. Step 5: Solve for x
    x = 102,420,481,024/148,451
  6. Step 6: Final answer
    x = 689,927.86

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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.