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Finding the Third Proportional to 148,192 and 320,074

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Solution

The third proportional to 148,192 and 320,074 is: 691,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,192 : 320,074 = 320,074 : x
  2. Step 2: Convert to fraction form
    148,192/320,074 = 320,074/x
  3. Step 3: Cross multiply
    148,192x = 320,074 × 320,074
  4. Step 4: Simplify right side
    148,192x = 102,447,365,476
  5. Step 5: Solve for x
    x = 102,447,365,476/148,192
  6. Step 6: Final answer
    x = 691,315.09

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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.