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Finding the Third Proportional to 221,955.75 and 489,154.50

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Solution

The third proportional to 221,955.75 and 489,154.50 is: 1,078,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,955.75 : 489,154.50 = 489,154.50 : x
  2. Step 2: Convert to fraction form
    221,955.75/489,154.50 = 489,154.50/x
  3. Step 3: Cross multiply
    221,955.75x = 489,154.50 × 489,154.50
  4. Step 4: Simplify right side
    221,955.75x = 239,272,124,870.25
  5. Step 5: Solve for x
    x = 239,272,124,870.25/221,955.75
  6. Step 6: Final answer
    x = 1,078,017.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.