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Finding the Third Proportional to 102,282.75 and 218,781

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Solution

The third proportional to 102,282.75 and 218,781 is: 467,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,282.75 : 218,781 = 218,781 : x
  2. Step 2: Convert to fraction form
    102,282.75/218,781 = 218,781/x
  3. Step 3: Cross multiply
    102,282.75x = 218,781 × 218,781
  4. Step 4: Simplify right side
    102,282.75x = 47,865,125,961
  5. Step 5: Solve for x
    x = 47,865,125,961/102,282.75
  6. Step 6: Final answer
    x = 467,968.70

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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.