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Finding the Third Proportional to 102,284 and 218,783

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Solution

The third proportional to 102,284 and 218,783 is: 467,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,284 : 218,783 = 218,783 : x
  2. Step 2: Convert to fraction form
    102,284/218,783 = 218,783/x
  3. Step 3: Cross multiply
    102,284x = 218,783 × 218,783
  4. Step 4: Simplify right side
    102,284x = 47,866,001,089
  5. Step 5: Solve for x
    x = 47,866,001,089/102,284
  6. Step 6: Final answer
    x = 467,971.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.