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Finding the Third Proportional to 221,382.50 and 489,282

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Solution

The third proportional to 221,382.50 and 489,282 is: 1,081,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,382.50 : 489,282 = 489,282 : x
  2. Step 2: Convert to fraction form
    221,382.50/489,282 = 489,282/x
  3. Step 3: Cross multiply
    221,382.50x = 489,282 × 489,282
  4. Step 4: Simplify right side
    221,382.50x = 239,396,875,524
  5. Step 5: Solve for x
    x = 239,396,875,524/221,382.50
  6. Step 6: Final answer
    x = 1,081,372.17

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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.