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Finding the Third Proportional to 102,780.75 and 224,237.25

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Solution

The third proportional to 102,780.75 and 224,237.25 is: 489,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,780.75 : 224,237.25 = 224,237.25 : x
  2. Step 2: Convert to fraction form
    102,780.75/224,237.25 = 224,237.25/x
  3. Step 3: Cross multiply
    102,780.75x = 224,237.25 × 224,237.25
  4. Step 4: Simplify right side
    102,780.75x = 50,282,344,287.56
  5. Step 5: Solve for x
    x = 50,282,344,287.56/102,780.75
  6. Step 6: Final answer
    x = 489,219.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.