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Finding the Third Proportional to 98,562 and 214,356

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Solution

The third proportional to 98,562 and 214,356 is: 466,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,562 : 214,356 = 214,356 : x
  2. Step 2: Convert to fraction form
    98,562/214,356 = 214,356/x
  3. Step 3: Cross multiply
    98,562x = 214,356 × 214,356
  4. Step 4: Simplify right side
    98,562x = 45,948,494,736
  5. Step 5: Solve for x
    x = 45,948,494,736/98,562
  6. Step 6: Final answer
    x = 466,188.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.