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Finding the Third Proportional to 98,263 and 210,544

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Solution

The third proportional to 98,263 and 210,544 is: 451,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,263 : 210,544 = 210,544 : x
  2. Step 2: Convert to fraction form
    98,263/210,544 = 210,544/x
  3. Step 3: Cross multiply
    98,263x = 210,544 × 210,544
  4. Step 4: Simplify right side
    98,263x = 44,328,775,936
  5. Step 5: Solve for x
    x = 44,328,775,936/98,263
  6. Step 6: Final answer
    x = 451,123.78

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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.