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Finding the Third Proportional to 102,278 and 218,770

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Solution

The third proportional to 102,278 and 218,770 is: 467,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,278 : 218,770 = 218,770 : x
  2. Step 2: Convert to fraction form
    102,278/218,770 = 218,770/x
  3. Step 3: Cross multiply
    102,278x = 218,770 × 218,770
  4. Step 4: Simplify right side
    102,278x = 47,860,312,900
  5. Step 5: Solve for x
    x = 47,860,312,900/102,278
  6. Step 6: Final answer
    x = 467,943.38

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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.