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Finding the Third Proportional to 148,837.50 and 325,617.75

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Solution

The third proportional to 148,837.50 and 325,617.75 is: 712,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,837.50 : 325,617.75 = 325,617.75 : x
  2. Step 2: Convert to fraction form
    148,837.50/325,617.75 = 325,617.75/x
  3. Step 3: Cross multiply
    148,837.50x = 325,617.75 × 325,617.75
  4. Step 4: Simplify right side
    148,837.50x = 106,026,919,115.06
  5. Step 5: Solve for x
    x = 106,026,919,115.06/148,837.50
  6. Step 6: Final answer
    x = 712,366.97

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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.