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Finding the Third Proportional to 148,833 and 223,580

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Solution

The third proportional to 148,833 and 223,580 is: 335,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,833 : 223,580 = 223,580 : x
  2. Step 2: Convert to fraction form
    148,833/223,580 = 223,580/x
  3. Step 3: Cross multiply
    148,833x = 223,580 × 223,580
  4. Step 4: Simplify right side
    148,833x = 49,988,016,400
  5. Step 5: Solve for x
    x = 49,988,016,400/148,833
  6. Step 6: Final answer
    x = 335,866.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.