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Finding the Third Proportional to 98,460 and 214,965

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Solution

The third proportional to 98,460 and 214,965 is: 469,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,460 : 214,965 = 214,965 : x
  2. Step 2: Convert to fraction form
    98,460/214,965 = 214,965/x
  3. Step 3: Cross multiply
    98,460x = 214,965 × 214,965
  4. Step 4: Simplify right side
    98,460x = 46,209,951,225
  5. Step 5: Solve for x
    x = 46,209,951,225/98,460
  6. Step 6: Final answer
    x = 469,327.15

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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.