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Finding the Third Proportional to 221,488.50 and 332,164.50

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Solution

The third proportional to 221,488.50 and 332,164.50 is: 498,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,488.50 : 332,164.50 = 332,164.50 : x
  2. Step 2: Convert to fraction form
    221,488.50/332,164.50 = 332,164.50/x
  3. Step 3: Cross multiply
    221,488.50x = 332,164.50 × 332,164.50
  4. Step 4: Simplify right side
    221,488.50x = 110,333,255,060.25
  5. Step 5: Solve for x
    x = 110,333,255,060.25/221,488.50
  6. Step 6: Final answer
    x = 498,144.40

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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.