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Finding the Third Proportional to 148,036.50 and 219,503.25

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Solution

The third proportional to 148,036.50 and 219,503.25 is: 325,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,036.50 : 219,503.25 = 219,503.25 : x
  2. Step 2: Convert to fraction form
    148,036.50/219,503.25 = 219,503.25/x
  3. Step 3: Cross multiply
    148,036.50x = 219,503.25 × 219,503.25
  4. Step 4: Simplify right side
    148,036.50x = 48,181,676,760.56
  5. Step 5: Solve for x
    x = 48,181,676,760.56/148,036.50
  6. Step 6: Final answer
    x = 325,471.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.