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Finding the Third Proportional to 238,920.50 and 513,257.50

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Solution

The third proportional to 238,920.50 and 513,257.50 is: 1,102,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,920.50 : 513,257.50 = 513,257.50 : x
  2. Step 2: Convert to fraction form
    238,920.50/513,257.50 = 513,257.50/x
  3. Step 3: Cross multiply
    238,920.50x = 513,257.50 × 513,257.50
  4. Step 4: Simplify right side
    238,920.50x = 263,433,261,306.25
  5. Step 5: Solve for x
    x = 263,433,261,306.25/238,920.50
  6. Step 6: Final answer
    x = 1,102,597.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.