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Finding the Third Proportional to 98,262 and 210,543

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Solution

The third proportional to 98,262 and 210,543 is: 451,124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,262 : 210,543 = 210,543 : x
  2. Step 2: Convert to fraction form
    98,262/210,543 = 210,543/x
  3. Step 3: Cross multiply
    98,262x = 210,543 × 210,543
  4. Step 4: Simplify right side
    98,262x = 44,328,354,849
  5. Step 5: Solve for x
    x = 44,328,354,849/98,262
  6. Step 6: Final answer
    x = 451,124.09

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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.