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Finding the Third Proportional to 221,355.50 and 489,225.50

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Solution

The third proportional to 221,355.50 and 489,225.50 is: 1,081,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,355.50 : 489,225.50 = 489,225.50 : x
  2. Step 2: Convert to fraction form
    221,355.50/489,225.50 = 489,225.50/x
  3. Step 3: Cross multiply
    221,355.50x = 489,225.50 × 489,225.50
  4. Step 4: Simplify right side
    221,355.50x = 239,341,589,850.25
  5. Step 5: Solve for x
    x = 239,341,589,850.25/221,355.50
  6. Step 6: Final answer
    x = 1,081,254.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.