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Finding the Third Proportional to 148,928 and 233,120

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Solution

The third proportional to 148,928 and 233,120 is: 364,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,928 : 233,120 = 233,120 : x
  2. Step 2: Convert to fraction form
    148,928/233,120 = 233,120/x
  3. Step 3: Cross multiply
    148,928x = 233,120 × 233,120
  4. Step 4: Simplify right side
    148,928x = 54,344,934,400
  5. Step 5: Solve for x
    x = 54,344,934,400/148,928
  6. Step 6: Final answer
    x = 364,907.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.