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Finding the Third Proportional to 148,190 and 323,596

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Solution

The third proportional to 148,190 and 323,596 is: 706,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,190 : 323,596 = 323,596 : x
  2. Step 2: Convert to fraction form
    148,190/323,596 = 323,596/x
  3. Step 3: Cross multiply
    148,190x = 323,596 × 323,596
  4. Step 4: Simplify right side
    148,190x = 104,714,371,216
  5. Step 5: Solve for x
    x = 104,714,371,216/148,190
  6. Step 6: Final answer
    x = 706,622.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.