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Finding the Third Proportional to 148,188 and 323,592

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Solution

The third proportional to 148,188 and 323,592 is: 706,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,188 : 323,592 = 323,592 : x
  2. Step 2: Convert to fraction form
    148,188/323,592 = 323,592/x
  3. Step 3: Cross multiply
    148,188x = 323,592 × 323,592
  4. Step 4: Simplify right side
    148,188x = 104,711,782,464
  5. Step 5: Solve for x
    x = 104,711,782,464/148,188
  6. Step 6: Final answer
    x = 706,614.45

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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.