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Finding the Third Proportional to 148,540.50 and 223,526.25

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Solution

The third proportional to 148,540.50 and 223,526.25 is: 336,366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,540.50 : 223,526.25 = 223,526.25 : x
  2. Step 2: Convert to fraction form
    148,540.50/223,526.25 = 223,526.25/x
  3. Step 3: Cross multiply
    148,540.50x = 223,526.25 × 223,526.25
  4. Step 4: Simplify right side
    148,540.50x = 49,963,984,439.06
  5. Step 5: Solve for x
    x = 49,963,984,439.06/148,540.50
  6. Step 6: Final answer
    x = 336,366.07

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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.