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Finding the Third Proportional to 148,542 and 320,757

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Solution

The third proportional to 148,542 and 320,757 is: 692,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,542 : 320,757 = 320,757 : x
  2. Step 2: Convert to fraction form
    148,542/320,757 = 320,757/x
  3. Step 3: Cross multiply
    148,542x = 320,757 × 320,757
  4. Step 4: Simplify right side
    148,542x = 102,885,053,049
  5. Step 5: Solve for x
    x = 102,885,053,049/148,542
  6. Step 6: Final answer
    x = 692,632.74

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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.