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Finding the Third Proportional to 223,744.50 and 489,133

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Solution

The third proportional to 223,744.50 and 489,133 is: 1,069,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,744.50 : 489,133 = 489,133 : x
  2. Step 2: Convert to fraction form
    223,744.50/489,133 = 489,133/x
  3. Step 3: Cross multiply
    223,744.50x = 489,133 × 489,133
  4. Step 4: Simplify right side
    223,744.50x = 239,251,091,689
  5. Step 5: Solve for x
    x = 239,251,091,689/223,744.50
  6. Step 6: Final answer
    x = 1,069,304.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.