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Finding the Third Proportional to 98,474 and 214,770

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Solution

The third proportional to 98,474 and 214,770 is: 468,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,474 : 214,770 = 214,770 : x
  2. Step 2: Convert to fraction form
    98,474/214,770 = 214,770/x
  3. Step 3: Cross multiply
    98,474x = 214,770 × 214,770
  4. Step 4: Simplify right side
    98,474x = 46,126,152,900
  5. Step 5: Solve for x
    x = 46,126,152,900/98,474
  6. Step 6: Final answer
    x = 468,409.46

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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.