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Finding the Third Proportional to 221,833 and 332,641.50

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Solution

The third proportional to 221,833 and 332,641.50 is: 498,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,833 : 332,641.50 = 332,641.50 : x
  2. Step 2: Convert to fraction form
    221,833/332,641.50 = 332,641.50/x
  3. Step 3: Cross multiply
    221,833x = 332,641.50 × 332,641.50
  4. Step 4: Simplify right side
    221,833x = 110,650,367,522.25
  5. Step 5: Solve for x
    x = 110,650,367,522.25/221,833
  6. Step 6: Final answer
    x = 498,800.30

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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.