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Finding the Third Proportional to 148,508 and 320,200

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Solution

The third proportional to 148,508 and 320,200 is: 690,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,508 : 320,200 = 320,200 : x
  2. Step 2: Convert to fraction form
    148,508/320,200 = 320,200/x
  3. Step 3: Cross multiply
    148,508x = 320,200 × 320,200
  4. Step 4: Simplify right side
    148,508x = 102,528,040,000
  5. Step 5: Solve for x
    x = 102,528,040,000/148,508
  6. Step 6: Final answer
    x = 690,387.32

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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.