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Finding the Third Proportional to 148,800 and 208,576

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Solution

The third proportional to 148,800 and 208,576 is: 292,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,800 : 208,576 = 208,576 : x
  2. Step 2: Convert to fraction form
    148,800/208,576 = 208,576/x
  3. Step 3: Cross multiply
    148,800x = 208,576 × 208,576
  4. Step 4: Simplify right side
    148,800x = 43,503,947,776
  5. Step 5: Solve for x
    x = 43,503,947,776/148,800
  6. Step 6: Final answer
    x = 292,365.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.