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Finding the Third Proportional to 148,833 and 325,608.75

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Solution

The third proportional to 148,833 and 325,608.75 is: 712,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,833 : 325,608.75 = 325,608.75 : x
  2. Step 2: Convert to fraction form
    148,833/325,608.75 = 325,608.75/x
  3. Step 3: Cross multiply
    148,833x = 325,608.75 × 325,608.75
  4. Step 4: Simplify right side
    148,833x = 106,021,058,076.56
  5. Step 5: Solve for x
    x = 106,021,058,076.56/148,833
  6. Step 6: Final answer
    x = 712,349.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.