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Finding the Third Proportional to 98,378 and 214,275

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Solution

The third proportional to 98,378 and 214,275 is: 466,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,378 : 214,275 = 214,275 : x
  2. Step 2: Convert to fraction form
    98,378/214,275 = 214,275/x
  3. Step 3: Cross multiply
    98,378x = 214,275 × 214,275
  4. Step 4: Simplify right side
    98,378x = 45,913,775,625
  5. Step 5: Solve for x
    x = 45,913,775,625/98,378
  6. Step 6: Final answer
    x = 466,707.76

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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.