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Finding the Third Proportional to 102,273 and 223,686

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Solution

The third proportional to 102,273 and 223,686 is: 489,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,273 : 223,686 = 223,686 : x
  2. Step 2: Convert to fraction form
    102,273/223,686 = 223,686/x
  3. Step 3: Cross multiply
    102,273x = 223,686 × 223,686
  4. Step 4: Simplify right side
    102,273x = 50,035,426,596
  5. Step 5: Solve for x
    x = 50,035,426,596/102,273
  6. Step 6: Final answer
    x = 489,233.98

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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.